3640432896 has 135 divisors (see below), whose sum is σ = 10881081211. Its totient is φ = 1210581504.

The previous prime is 3640432883. The next prime is 3640432907. The reversal of 3640432896 is 6982340463.

The square root of 3640432896 is 60336.

It is a perfect power (a square), and thus also a powerful number.

3640432896 is a `hidden beast` number, since 364 + 0 + 4 + 3 + 289 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8688175 + ... + 8688593.

Almost surely, 2^3640432896 is an apocalyptic number.

3640432896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3640432896 is the 60336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640432896

3640432896 is an abundant number, since it is smaller than the sum of its proper divisors (7240648315).

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

3640432896 is an frugal number, since it uses more digits than its factorization.

3640432896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The cubic root of 3640432896 is about 1538.3353148052.

The spelling of 3640432896 in words is "three billion, six hundred forty million, four hundred thirty-two thousand, eight hundred ninety-six".