3957458001 has 48 divisors (see below), whose sum is σ = 6497726400. Its totient is φ = 2132548992.

The previous prime is 3957457963. The next prime is 3957458017. The reversal of 3957458001 is 1008547593.

3957458001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3957458001 - 2⁷ = 3957457873 is a prime.

It is a super-2 number, since 2×3957458001² = 31322947659357832002, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3957458041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172515 + ... + 194103.

It is an arithmetic number, because the mean of its divisors is an integer number (135369300).

Almost surely, 2^3957458001 is an apocalyptic number.

It is an amenable number.

3957458001 is a deficient number, since it is larger than the sum of its proper divisors (2540268399).

3957458001 is a wasteful number, since it uses less digits than its factorization.

3957458001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21678 (or 21671 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 3957458001 is about 62908.3301399743. The cubic root of 3957458001 is about 1581.7533812970.

The spelling of 3957458001 in words is "three billion, nine hundred fifty-seven million, four hundred fifty-eight thousand, one".