3625600 has 96 divisors (see below), whose sum is σ = 9865440. Its totient is φ = 1305600.

The previous prime is 3625591. The next prime is 3625603. The reversal of 3625600 is 65263.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3625603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35149 + ... + 35251.

It is an arithmetic number, because the mean of its divisors is an integer number (102765).

Almost surely, 2^3625600 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 3625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932720).

3625600 is an abundant number, since it is smaller than the sum of its proper divisors (6239840).

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

3625600 is a wasteful number, since it uses less digits than its factorization.

3625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 3625600 is about 1904.1008376659. The cubic root of 3625600 is about 153.6243161735.

It can be divided in two parts, 3625 and 600, that added together give a square (4225 = 65²).

The spelling of 3625600 in words is "three million, six hundred twenty-five thousand, six hundred".