3975467904 has 64 divisors (see below), whose sum is σ = 11733162000. Its totient is φ = 1325154816.

The previous prime is 3975467897. The next prime is 3975467917. The reversal of 3975467904 is 4097645793.

It is a happy number.

3975467904 is a `hidden beast` number, since 3 + 9 + 7 + 546 + 7 + 90 + 4 = 666.

3975467904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571699 + ... + 578610.

Almost surely, 2^3975467904 is an apocalyptic number.

It is an amenable number.

3975467904 is an abundant number, since it is smaller than the sum of its proper divisors (7757694096).

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

3975467904 is a wasteful number, since it uses less digits than its factorization.

3975467904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150332 (or 1150314 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3975467904 is about 63051.3116754917. The cubic root of 3975467904 is about 1584.1492054125.

It can be divided in two parts, 397546 and 7904, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 3975467904 in words is "three billion, nine hundred seventy-five million, four hundred sixty-seven thousand, nine hundred four".