3645807520 has 48 divisors (see below), whose sum is σ = 8644420008. Its totient is φ = 1453040640.

The previous prime is 3645807511. The next prime is 3645807541. The reversal of 3645807520 is 257085463.

3645807520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1465664656 + 2180142864 = 38284^2 + 46692^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3190 + ... + 85450.

Almost surely, 2^3645807520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645807520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322210004).

3645807520 is an abundant number, since it is smaller than the sum of its proper divisors (4998612488).

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

3645807520 is a wasteful number, since it uses less digits than its factorization.

3645807520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82553 (or 82545 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 3645807520 is about 60380.5226873700. The cubic root of 3645807520 is about 1539.0919929817.

It can be divided in two parts, 364580 and 7520, that added together give a square (372100 = 610²).

The spelling of 3645807520 in words is "three billion, six hundred forty-five million, eight hundred seven thousand, five hundred twenty".