3917979936 has 384 divisors, whose sum is σ = 13259635200. Its totient is φ = 1118638080.

The previous prime is 3917979929. The next prime is 3917979941. The reversal of 3917979936 is 6399797193.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55182781 + ... + 55182851.

It is an arithmetic number, because the mean of its divisors is an integer number (34530300).

Almost surely, 2^3917979936 is an apocalyptic number.

3917979936 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 3917979936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629817600).

3917979936 is an abundant number, since it is smaller than the sum of its proper divisors (9341655264).

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

3917979936 is a wasteful number, since it uses less digits than its factorization.

3917979936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 106 counting only the distinct ones).

The product of its digits is 17360406, while the sum is 63.

The square root of 3917979936 is about 62593.7691467769. The cubic root of 3917979936 is about 1576.4761417029.

The spelling of 3917979936 in words is "three billion, nine hundred seventeen million, nine hundred seventy-nine thousand, nine hundred thirty-six".