3957884640 has 96 divisors (see below), whose sum is σ = 13852611360. Its totient is φ = 1055434752.

The previous prime is 3957884629. The next prime is 3957884681. The reversal of 3957884640 is 464887593.

3957884640 is a `hidden beast` number, since 3 + 9 + 578 + 8 + 4 + 64 + 0 = 666.

3957884640 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 (96).

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 15 ways as a sum of consecutive naturals, for example, 453769 + ... + 462408.

It is an arithmetic number, because the mean of its divisors is an integer number (144298035).

Almost surely, 2^3957884640 is an apocalyptic number.

3957884640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3957884640 is an abundant number, since it is smaller than the sum of its proper divisors (9894726720).

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

3957884640 is a wasteful number, since it uses less digits than its factorization.

3957884640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916201 (or 916187 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3957884640 is about 62911.7210065024. The cubic root of 3957884640 is about 1581.8102202604.

The spelling of 3957884640 in words is "three billion, nine hundred fifty-seven million, eight hundred eighty-four thousand, six hundred forty".