3525600 has 144 divisors (see below), whose sum is σ = 12467952. Its totient is φ = 860160.

The previous prime is 3525593. The next prime is 3525623. The reversal of 3525600 is 65253.

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, 31144 + ... + 31256.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

Almost surely, 2^3525600 is an apocalyptic number.

3525600 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 3525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976).

3525600 is an abundant number, since it is smaller than the sum of its proper divisors (8942352).

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

3525600 is a wasteful number, since it uses less digits than its factorization.

3525600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 3525600 is about 1877.6581158454. The cubic root of 3525600 is about 152.1987243779.

The spelling of 3525600 in words is "three million, five hundred twenty-five thousand, six hundred".