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3876533376 = 27346721617
BaseRepresentation
bin1110011100001111…
…0011010010000000
3101000011101022002020
43213003303102000
530414343032001
61440355321440
7165030663402
oct34703632200
911004338066
103876533376
11170a2249a1
129022b0280
1349a182941
1428abb4b72
1517a4d7736
hexe70f3480

3876533376 has 64 divisors (see below), whose sum is σ = 10319568480. Its totient is φ = 1289351168.

The previous prime is 3876533371. The next prime is 3876533383. The reversal of 3876533376 is 6733356783.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×38765333762 = 30055022030483914752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3876533371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168520 + ... + 190136.

Almost surely, 23876533376 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 3876533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159784240).

3876533376 is an abundant number, since it is smaller than the sum of its proper divisors (6443035104).

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

3876533376 is a wasteful number, since it uses less digits than its factorization.

3876533376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22101 (or 22089 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 51.

The square root of 3876533376 is about 62261.8131441737. The cubic root of 3876533376 is about 1570.8974781300.

The spelling of 3876533376 in words is "three billion, eight hundred seventy-six million, five hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 467 934 1401 1868 2802 3736 5604 7472 11208 14944 21617 22416 29888 43234 44832 59776 64851 86468 89664 129702 172936 179328 259404 345872 518808 691744 1037616 1383488 2075232 2766976 4150464 8300928 10095139 20190278 30285417 40380556 60570834 80761112 121141668 161522224 242283336 323044448 484566672 646088896 969133344 1292177792 1938266688 3876533376