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3734640798640 = 245794793123289
BaseRepresentation
bin110110010110001001111…
…100000010101110110000
3111020000202112112120111021
4312112021330002232300
5442142021021024030
611535400441225224
7533550611004463
oct66261174025660
914200675476437
103734640798640
11120a941407084
1250396b792214
1321123796541b
14cca86b232da
156722ea7697a
hex36589f02bb0

3734640798640 has 80 divisors (see below), whose sum is σ = 8794857628800. Its totient is φ = 1474627055616.

The previous prime is 3734640798593. The next prime is 3734640798643. The reversal of 3734640798640 is 468970464373.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3734640798643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30230116 + ... + 30353404.

It is an arithmetic number, because the mean of its divisors is an integer number (109935720360).

Almost surely, 23734640798640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3734640798640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397428814400).

3734640798640 is an abundant number, since it is smaller than the sum of its proper divisors (5060216830160).

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

3734640798640 is a wasteful number, since it uses less digits than its factorization.

3734640798640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128174 (or 128168 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 61.

The spelling of 3734640798640 in words is "three trillion, seven hundred thirty-four billion, six hundred forty million, seven hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 4793 6320 9586 19172 23965 38344 47930 76688 95860 123289 191720 246578 378647 383440 493156 616445 757294 986312 1232890 1514588 1893235 1972624 2465780 3029176 3786470 4931560 6058352 7572940 9739831 9863120 15145880 19479662 30291760 38959324 48699155 77918648 97398310 155837296 194796620 389593240 590924177 779186480 1181848354 2363696708 2954620885 4727393416 5909241770 9454786832 11818483540 23636967080 46683009983 47273934160 93366019966 186732039932 233415049915 373464079864 466830099830 746928159728 933660199660 1867320399320 3734640798640