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3429944761880 = 2357131949594343
BaseRepresentation
bin110001111010011000101…
…000111001111000011000
3110010220021202012011100202
4301322120220321320120
5422144011324340010
611143410031521332
7502543141301630
oct61723050717030
913126252164322
103429944761880
1111026a444396a
124748b5689248
131bb599c62950
14bc0200456c0
155e349ea46a5
hex31e98a39e18

3429944761880 has 128 divisors (see below), whose sum is σ = 9998219750400. Its totient is φ = 1028388275712.

The previous prime is 3429944761871. The next prime is 3429944761889. The reversal of 3429944761880 is 881674499243.

It is an interprime number because it is at equal distance from previous prime (3429944761871) and next prime (3429944761889).

It is a super-2 number, since 2×34299447618802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429944761889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24728012 + ... + 24866331.

It is an arithmetic number, because the mean of its divisors is an integer number (78111091800).

Almost surely, 23429944761880 is an apocalyptic number.

It is an amenable number.

3429944761880 is an abundant number, since it is smaller than the sum of its proper divisors (6568274988520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3429944761880 is a wasteful number, since it uses less digits than its factorization.

3429944761880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49594393 (or 49594389 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 65.

The spelling of 3429944761880 in words is "three trillion, four hundred twenty-nine billion, nine hundred forty-four million, seven hundred sixty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 6916 8645 9880 13832 17290 34580 69160 49594343 99188686 198377372 247971715 347160401 396754744 495943430 644726459 694320802 942292517 991886860 1289452918 1388641604 1735802005 1884585034 1983773720 2578905836 2777283208 3223632295 3471604010 3769170068 4513085213 4711462585 5157811672 6447264590 6596047619 6943208020 7538340136 9026170426 9422925170 12249802721 12894529180 13192095238 13886416040 18052340852 18845850340 22565426065 24499605442 25789058360 26384190476 32980238095 36104681704 37691700680 45130852130 48999210884 52768380952 61249013605 65960476190 85748619047 90261704260 97998421768 122498027210 131920952380 171497238094 180523408520 244996054420 263841904760 342994476188 428743095235 489992108840 685988952376 857486190470 1714972380940 3429944761880