3640344876 has 96 divisors (see below), whose sum is σ = 10841402880. Its totient is φ = 1034776512.

The previous prime is 3640344821. The next prime is 3640344887. The reversal of 3640344876 is 6784430463.

3640344876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3640344876² = 26504221632438910752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136711 + ... + 161153.

It is an arithmetic number, because the mean of its divisors is an integer number (112931280).

Almost surely, 2^3640344876 is an apocalyptic number.

3640344876 is a gapful number since it is divisible by the number (36) 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 3640344876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420701440).

3640344876 is an abundant number, since it is smaller than the sum of its proper divisors (7201058004).

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

3640344876 is a wasteful number, since it uses less digits than its factorization.

3640344876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24660 (or 24652 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3640344876 is about 60335.2705803165. The cubic root of 3640344876 is about 1538.3229165210.

The spelling of 3640344876 in words is "three billion, six hundred forty million, three hundred forty-four thousand, eight hundred seventy-six".