3635948748096 has 224 divisors, whose sum is σ = 12858967424000. Its totient is φ = 984166516224.

The previous prime is 3635948748043. The next prime is 3635948748097. The reversal of 3635948748096 is 6908478495363.

3635948748096 is a `hidden beast` number, since 3 + 6 + 3 + 59 + 4 + 8 + 7 + 480 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3635948748097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7680466 + ... + 8140113.

Almost surely, 2^{3635948748096} is an apocalyptic number.

3635948748096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3635948748096 is an abundant number, since it is smaller than the sum of its proper divisors (9223018675904).

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

3635948748096 is a wasteful number, since it uses less digits than its factorization.

3635948748096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15820626 (or 15820610 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 3635948748096 in words is "three trillion, six hundred thirty-five billion, nine hundred forty-eight million, seven hundred forty-eight thousand, ninety-six".