363977138304 has 512 divisors, whose sum is σ = 1194338073600. Its totient is φ = 108419088384.

The previous prime is 363977138297. The next prime is 363977138347. The reversal of 363977138304 is 403831779363.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 204825864 + ... + 204827640.

It is an arithmetic number, because the mean of its divisors is an integer number (2332691550).

Almost surely, 2^363977138304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363977138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597169036800).

363977138304 is an abundant number, since it is smaller than the sum of its proper divisors (830360935296).

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

363977138304 is a wasteful number, since it uses less digits than its factorization.

363977138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 363977138304 in words is "three hundred sixty-three billion, nine hundred seventy-seven million, one hundred thirty-eight thousand, three hundred four".