3633432325152 has 48 divisors (see below), whose sum is σ = 10900296977472. Its totient is φ = 1038123521280.

The previous prime is 3633432325139. The next prime is 3633432325163. The reversal of 3633432325152 is 2515232343363.

3633432325152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3633432325152² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2703445999 + ... + 2703447342.

It is an arithmetic number, because the mean of its divisors is an integer number (227089520364).

Almost surely, 2^{3633432325152} is an apocalyptic number.

3633432325152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3633432325152 is an abundant number, since it is smaller than the sum of its proper divisors (7266864652320).

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

3633432325152 is a wasteful number, since it uses less digits than its factorization.

3633432325152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406893361 (or 5406893353 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 42.

The spelling of 3633432325152 in words is "three trillion, six hundred thirty-three billion, four hundred thirty-two million, three hundred twenty-five thousand, one hundred fifty-two".