3643044480 has 96 divisors (see below), whose sum is σ = 12579907860. Its totient is φ = 971476992.

The previous prime is 3643044479. The next prime is 3643044491. The reversal of 3643044480 is 844403463.

3643044480 is a `hidden beast` number, since 3 + 643 + 0 + 4 + 4 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3309470784 + 333573696 = 57528^2 + 18264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310477 + ... + 321996.

Almost surely, 2^3643044480 is an apocalyptic number.

3643044480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3643044480 is an abundant number, since it is smaller than the sum of its proper divisors (8936863380).

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

3643044480 is a wasteful number, since it uses less digits than its factorization.

3643044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632498 (or 632483 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3643044480 is about 60357.6381247643. The cubic root of 3643044480 is about 1538.7030853149.

The spelling of 3643044480 in words is "three billion, six hundred forty-three million, forty-four thousand, four hundred eighty".