3930398976 has 432 divisors, whose sum is σ = 13421721600. Its totient is φ = 1013354496.

The previous prime is 3930398947. The next prime is 3930398987. The reversal of 3930398976 is 6798930393.

It is a super-2 number, since 2×3930398976² = 30896072221083697152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16445065 + ... + 16445303.

It is an arithmetic number, because the mean of its divisors is an integer number (31068800).

Almost surely, 2^3930398976 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 3930398976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710860800).

3930398976 is an abundant number, since it is smaller than the sum of its proper divisors (9491322624).

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

3930398976 is a wasteful number, since it uses less digits than its factorization.

3930398976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 57.

The square root of 3930398976 is about 62692.8941427974. The cubic root of 3930398976 is about 1578.1400663757.

The spelling of 3930398976 in words is "three billion, nine hundred thirty million, three hundred ninety-eight thousand, nine hundred seventy-six".