3645685260 has 312 divisors, whose sum is σ = 13392304800. Its totient is φ = 833299488.

The previous prime is 3645685259. The next prime is 3645685279. The reversal of 3645685260 is 625865463.

3645685260 is a `hidden beast` number, since 3 + 64 + 5 + 68 + 526 + 0 = 666.

3645685260 is digitally balanced in base 2, 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 520812177 + ... + 520812183.

Almost surely, 2^3645685260 is an apocalyptic number.

3645685260 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 3645685260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696152400).

3645685260 is an abundant number, since it is smaller than the sum of its proper divisors (9746619540).

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

3645685260 is an frugal number, since it uses more digits than its factorization.

3645685260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 3645685260 is about 60379.5102663147. The cubic root of 3645685260 is about 1539.0747886093.

The spelling of 3645685260 in words is "three billion, six hundred forty-five million, six hundred eighty-five thousand, two hundred sixty".