3645360 has 120 divisors (see below), whose sum is σ = 12592944. Its totient is φ = 944640.

The previous prime is 3645349. The next prime is 3645371. The reversal of 3645360 is 635463.

3645360 = T₂₆₁ + T₂₆₂ + ... + T₃₄₀.

It is an interprime number because it is at equal distance from previous prime (3645349) and next prime (3645371).

It is a tau number, because it is divible by the number of its divisors (120).

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, 43879 + ... + 43961.

Almost surely, 2^3645360 is an apocalyptic number.

3645360 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 3645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296472).

3645360 is an abundant number, since it is smaller than the sum of its proper divisors (8947584).

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

3645360 is a wasteful number, since it uses less digits than its factorization.

3645360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3645360 is about 1909.2825877800. The cubic root of 3645360 is about 153.9029016295.

It can be divided in two parts, 3645 and 360, that added together give a triangular number (4005 = T₈₉).

The spelling of 3645360 in words is "three million, six hundred forty-five thousand, three hundred sixty".