3625680 has 40 divisors (see below), whose sum is σ = 11240352. Its totient is φ = 966784.

The previous prime is 3625679. The next prime is 3625681. The reversal of 3625680 is 865263.

3625680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3625679) and next prime (3625681).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7314 + ... + 7793.

Almost surely, 2^3625680 is an apocalyptic number.

3625680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3625680 is an abundant number, since it is smaller than the sum of its proper divisors (7614672).

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

3625680 is a wasteful number, since it uses less digits than its factorization.

3625680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15123 (or 15117 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3625680 is about 1904.1218448408. The cubic root of 3625680 is about 153.6254460881.

The spelling of 3625680 in words is "three million, six hundred twenty-five thousand, six hundred eighty".