3642360 has 64 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 959616.

The previous prime is 3642347. The next prime is 3642377. The reversal of 3642360 is 632463.

3642360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3642360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15121 + ... + 15359.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 2^3642360 is an apocalyptic number.

3642360 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 3642360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529600).

3642360 is an abundant number, since it is smaller than the sum of its proper divisors (7416840).

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

3642360 is a wasteful number, since it uses less digits than its factorization.

3642360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3642360 is about 1908.4967906706. The cubic root of 3642360 is about 153.8606711942.

The spelling of 3642360 in words is "three million, six hundred forty-two thousand, three hundred sixty".