3976479936 has 336 divisors, whose sum is σ = 13979347200. Its totient is φ = 1063434240.

The previous prime is 3976479901. The next prime is 3976479953. The reversal of 3976479936 is 6399746793.

3976479936 is a `hidden beast` number, since 3 + 9 + 76 + 479 + 93 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1893415 + ... + 1895513.

It is an arithmetic number, because the mean of its divisors is an integer number (41605200).

Almost surely, 2^3976479936 is an apocalyptic number.

3976479936 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 3976479936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989673600).

3976479936 is an abundant number, since it is smaller than the sum of its proper divisors (10002867264).

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

3976479936 is a wasteful number, since it uses less digits than its factorization.

3976479936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2151 counting only the distinct ones).

The product of its digits is 46294416, while the sum is 63.

The square root of 3976479936 is about 63059.3366282900. The cubic root of 3976479936 is about 1584.2836192479.

The spelling of 3976479936 in words is "three billion, nine hundred seventy-six million, four hundred seventy-nine thousand, nine hundred thirty-six".