362989104397920 has 1728 divisors, whose sum is σ = 1747458730967040. Its totient is φ = 67378281062400.

The previous prime is 362989104397891. The next prime is 362989104397987. The reversal of 362989104397920 is 29793401989263.

362989104397920 is a `hidden beast` number, since 3 + 6 + 2 + 98 + 9 + 10 + 439 + 7 + 92 + 0 = 666.

It is a super-2 number, since 2×362989104397920² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 312212241 + ... + 313372719.

It is an arithmetic number, because the mean of its divisors is an integer number (1011260839680).

Almost surely, 2^{362989104397920} is an apocalyptic number.

362989104397920 is a gapful number since it is divisible by the number (30) 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 362989104397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873729365483520).

362989104397920 is an abundant number, since it is smaller than the sum of its proper divisors (1384469626569120).

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

362989104397920 is a wasteful number, since it uses less digits than its factorization.

362989104397920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160569 (or 1160551 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 362989104397920 in words is "three hundred sixty-two trillion, nine hundred eighty-nine billion, one hundred four million, three hundred ninety-seven thousand, nine hundred twenty".