3640413700 has 288 divisors, whose sum is σ = 10335338496. Its totient is φ = 1080000000.

The previous prime is 3640413659. The next prime is 3640413727. The reversal of 3640413700 is 73140463.

It is a super-2 number, since 2×3640413700² = 26505223814295380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24108625 + ... + 24108775.

It is an arithmetic number, because the mean of its divisors is an integer number (35886592).

Almost surely, 2^3640413700 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 3640413700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167669248).

3640413700 is an abundant number, since it is smaller than the sum of its proper divisors (6694924796).

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

3640413700 is a wasteful number, since it uses less digits than its factorization.

3640413700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3640413700 is about 60335.8409239483. The cubic root of 3640413700 is about 1538.3326109202.

The spelling of 3640413700 in words is "three billion, six hundred forty million, four hundred thirteen thousand, seven hundred".