3957600 has 144 divisors (see below), whose sum is σ = 13780368. Its totient is φ = 983040.

The previous prime is 3957571. The next prime is 3957637. The reversal of 3957600 is 67593.

3957600 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40752 + ... + 40848.

It is an arithmetic number, because the mean of its divisors is an integer number (95697).

Almost surely, 2^3957600 is an apocalyptic number.

3957600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890184).

3957600 is an abundant number, since it is smaller than the sum of its proper divisors (9822768).

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

3957600 is a wasteful number, since it uses less digits than its factorization.

3957600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 3957600 is about 1989.3717601293. The cubic root of 3957600 is about 158.1772299562.

The spelling of 3957600 in words is "three million, nine hundred fifty-seven thousand, six hundred".