3640299520 has 312 divisors, whose sum is σ = 10432123128. Its totient is φ = 1211105280.

The previous prime is 3640299503. The next prime is 3640299557. The reversal of 3640299520 is 259920463.

It can be written as a sum of positive squares in 4 ways, for example, as 143233024 + 3497066496 = 11968^2 + 59136^2 .

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 23 ways as a sum of consecutive naturals, for example, 32214984 + ... + 32215096.

Almost surely, 2^3640299520 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 3640299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216061564).

3640299520 is an abundant number, since it is smaller than the sum of its proper divisors (6791823608).

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

3640299520 is a wasteful number, since it uses less digits than its factorization.

3640299520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 3640299520 is about 60334.8947127614. The cubic root of 3640299520 is about 1538.3165277065.

The spelling of 3640299520 in words is "three billion, six hundred forty million, two hundred ninety-nine thousand, five hundred twenty".