3681360 has 60 divisors (see below), whose sum is σ = 12365652. Its totient is φ = 981504.

The previous prime is 3681341. The next prime is 3681371. The reversal of 3681360 is 631863.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 3196944 = 696^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3681360² = 27104822899200, which contains 22 as substring.

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, 1837 + ... + 3276.

Almost surely, 2^3681360 is an apocalyptic number.

3681360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3681360 is an abundant number, since it is smaller than the sum of its proper divisors (8684292).

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

3681360 is a wasteful number, since it uses less digits than its factorization.

3681360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3681360 is about 1918.6870510847. The cubic root of 3681360 is about 154.4078691614.

It can be divided in two parts, 368 and 1360, that added together give a cube (1728 = 12³).

The spelling of 3681360 in words is "three million, six hundred eighty-one thousand, three hundred sixty".