3976304904 has 480 divisors, whose sum is σ = 13626264960. Its totient is φ = 1075472640.

The previous prime is 3976304897. The next prime is 3976304909. The reversal of 3976304904 is 4094036793.

3976304904 is a `hidden beast` number, since 3 + 9 + 7 + 630 + 4 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×3976304904² = 31622001379148898432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3976304904.

It is not an unprimeable number, because it can be changed into a prime (3976304909) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47907247 + ... + 47907329.

It is an arithmetic number, because the mean of its divisors is an integer number (28388052).

Almost surely, 2^3976304904 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 3976304904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813132480).

3976304904 is an abundant number, since it is smaller than the sum of its proper divisors (9649960056).

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

3976304904 is a wasteful number, since it uses less digits than its factorization.

3976304904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3976304904 is about 63057.9487772953. The cubic root of 3976304904 is about 1584.2603738647.

The spelling of 3976304904 in words is "three billion, nine hundred seventy-six million, three hundred four thousand, nine hundred four".