3957624 has 96 divisors (see below), whose sum is σ = 12355200. Its totient is φ = 1131840.

The previous prime is 3957571. The next prime is 3957637. The reversal of 3957624 is 4267593.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹⁰ + 9 + 5⁵ + 7⁶ + 6⁸ + 2²¹ + 4⁵ .

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, 14917 + ... + 15179.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

Almost surely, 2^3957624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177600).

3957624 is an abundant number, since it is smaller than the sum of its proper divisors (8397576).

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

3957624 is a wasteful number, since it uses less digits than its factorization.

3957624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3957624 is about 1989.3777921752. The cubic root of 3957624 is about 158.1775496993.

The spelling of 3957624 in words is "three million, nine hundred fifty-seven thousand, six hundred twenty-four".