3625920 has 84 divisors (see below), whose sum is σ = 12481560. Its totient is φ = 966144.

The previous prime is 3625883. The next prime is 3625939. The reversal of 3625920 is 295263.

3625920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2251 + ... + 3509.

It is an arithmetic number, because the mean of its divisors is an integer number (148590).

Almost surely, 2^3625920 is an apocalyptic number.

3625920 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 3625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240780).

3625920 is an abundant number, since it is smaller than the sum of its proper divisors (8855640).

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

3625920 is a wasteful number, since it uses less digits than its factorization.

3625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3625920 is about 1904.1848649750. The cubic root of 3625920 is about 153.6288357321.

The spelling of 3625920 in words is "three million, six hundred twenty-five thousand, nine hundred twenty".