3976005274956 has 960 divisors, whose sum is σ = 13523811840000. Its totient is φ = 1000043366400.

The previous prime is 3976005274951. The next prime is 3976005275027. The reversal of 3976005274956 is 6594725006793.

3976005274956 is a `hidden beast` number, since 3 + 9 + 7 + 60 + 0 + 527 + 49 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3976005274893 and 3976005274902.

It is not an unprimeable number, because it can be changed into a prime (3976005274951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1446344670 + ... + 1446347418.

It is an arithmetic number, because the mean of its divisors is an integer number (14087304000).

Almost surely, 2^{3976005274956} is an apocalyptic number.

3976005274956 is a gapful number since it is divisible by the number (36) 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 3976005274956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761905920000).

3976005274956 is an abundant number, since it is smaller than the sum of its proper divisors (9547806565044).

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

3976005274956 is a wasteful number, since it uses less digits than its factorization.

3976005274956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 3976005274956 in words is "three trillion, nine hundred seventy-six billion, five million, two hundred seventy-four thousand, nine hundred fifty-six".