3925600 has 72 divisors (see below), whose sum is σ = 10968048. Its totient is φ = 1344000.

The previous prime is 3925591. The next prime is 3925613. The reversal of 3925600 is 65293.

3925600 = T₃₇₁ + T₃₇₂ + ... + T₄₂₀.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5250 + ... + 5950.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^3925600 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 3925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484024).

3925600 is an abundant number, since it is smaller than the sum of its proper divisors (7042448).

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

3925600 is a wasteful number, since it uses less digits than its factorization.

3925600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 3925600 is about 1981.3126961689. The cubic root of 3925600 is about 157.7497507286.

The spelling of 3925600 in words is "three million, nine hundred twenty-five thousand, six hundred".