3644327920 has 160 divisors (see below), whose sum is σ = 9224409600. Its totient is φ = 1334817792.

The previous prime is 3644327917. The next prime is 3644327923. The reversal of 3644327920 is 297234463.

It is an interprime number because it is at equal distance from previous prime (3644327917) and next prime (3644327923).

It is a super-2 number, since 2×3644327920² = 26562251976983052800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644327923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8697471 + ... + 8697889.

It is an arithmetic number, because the mean of its divisors is an integer number (57652560).

Almost surely, 2^3644327920 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 3644327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612204800).

3644327920 is an abundant number, since it is smaller than the sum of its proper divisors (5580081680).

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

3644327920 is a wasteful number, since it uses less digits than its factorization.

3644327920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 3644327920 is about 60368.2691486181. The cubic root of 3644327920 is about 1538.8837584884.

The spelling of 3644327920 in words is "three billion, six hundred forty-four million, three hundred twenty-seven thousand, nine hundred twenty".