363780001872 has 120 divisors (see below), whose sum is σ = 1224756461760. Its totient is φ = 98466762240.

The previous prime is 363780001867. The next prime is 363780001873. The reversal of 363780001872 is 278100087363.

363780001872 is a `hidden beast` number, since 3 + 637 + 8 + 0 + 0 + 0 + 1 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363780001873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9478029 + ... + 9516332.

It is an arithmetic number, because the mean of its divisors is an integer number (10206303848).

Almost surely, 2^363780001872 is an apocalyptic number.

It is an amenable number.

363780001872 is an abundant number, since it is smaller than the sum of its proper divisors (860976459888).

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

363780001872 is a wasteful number, since it uses less digits than its factorization.

363780001872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18994401 (or 18994392 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 363780001872 in words is "three hundred sixty-three billion, seven hundred eighty million, one thousand, eight hundred seventy-two".