3957100 has 36 divisors (see below), whose sum is σ = 9815344. Its totient is φ = 1356480.

The previous prime is 3957097. The next prime is 3957103. The reversal of 3957100 is 17593.

3957100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3957097) and next prime (3957103).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3957103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2127 + ... + 3526.

Almost surely, 2^3957100 is an apocalyptic number.

It is an amenable number.

3957100 is an abundant number, since it is smaller than the sum of its proper divisors (5858244).

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

3957100 is a wasteful number, since it uses less digits than its factorization.

3957100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 3957100 is about 1989.2460883460. The cubic root of 3957100 is about 158.1705683476.

The spelling of 3957100 in words is "three million, nine hundred fifty-seven thousand, one hundred".