3653904384 has 576 divisors, whose sum is σ = 12949372800. Its totient is φ = 1012137984.

The previous prime is 3653904337. The next prime is 3653904391. The reversal of 3653904384 is 4834093563.

3653904384 is a `hidden beast` number, since 36 + 539 + 0 + 4 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158865397 + ... + 158865419.

It is an arithmetic number, because the mean of its divisors is an integer number (22481550).

Almost surely, 2^3653904384 is an apocalyptic number.

3653904384 is a gapful number since it is divisible by the number (34) 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 3653904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474686400).

3653904384 is an abundant number, since it is smaller than the sum of its proper divisors (9295468416).

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

3653904384 is a wasteful number, since it uses less digits than its factorization.

3653904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3653904384 is about 60447.5341432552. The cubic root of 3653904384 is about 1540.2305248880.

The spelling of 3653904384 in words is "three billion, six hundred fifty-three million, nine hundred four thousand, three hundred eighty-four".