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3885370680 = 2335233314253
BaseRepresentation
bin1110011110010110…
…0000110100111000
3101000210000021120210
43213211200310320
530424123330210
61441312551120
7165166051212
oct34745406470
911023007523
103885370680
111714210554
129052524a0
1349bc58209
1428c0355b2
1517b180e20
hexe7960d38

3885370680 has 128 divisors (see below), whose sum is σ = 12202513920. Its totient is φ = 987824640.

The previous prime is 3885370679. The next prime is 3885370691. The reversal of 3885370680 is 860735883.

It is a happy number.

3885370680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38853706802 = 30192210642007324800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911434 + ... + 915686.

It is an arithmetic number, because the mean of its divisors is an integer number (95332140).

Almost surely, 23885370680 is an apocalyptic number.

3885370680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3885370680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101256960).

3885370680 is an abundant number, since it is smaller than the sum of its proper divisors (8317143240).

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

3885370680 is a wasteful number, since it uses less digits than its factorization.

3885370680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3885370680 is about 62332.7416371204. The cubic root of 3885370680 is about 1572.0902932293.

The spelling of 3885370680 in words is "three billion, eight hundred eighty-five million, three hundred seventy thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 331 345 460 552 662 690 920 993 1324 1380 1655 1986 2648 2760 3310 3972 4253 4965 6620 7613 7944 8506 9930 12759 13240 15226 17012 19860 21265 22839 25518 30452 34024 38065 39720 42530 45678 51036 60904 63795 76130 85060 91356 97819 102072 114195 127590 152260 170120 182712 195638 228390 255180 293457 304520 391276 456780 489095 510360 586914 782552 913560 978190 1173828 1407743 1467285 1956380 2347656 2815486 2934570 3912760 4223229 5630972 5869140 7038715 8446458 11261944 11738280 14077430 16892916 21116145 28154860 32378089 33785832 42232290 56309720 64756178 84464580 97134267 129512356 161890445 168929160 194268534 259024712 323780890 388537068 485671335 647561780 777074136 971342670 1295123560 1942685340 3885370680