379436115974400 has 243 divisors, whose sum is σ = 1356586465577889. Its totient is φ = 101181717596160.

The previous prime is 379436115974389. The next prime is 379436115974423. The reversal of 379436115974400 is 4479511634973.

The square root of 379436115974400 is 19479120.

It is a perfect power (a square), and thus also a powerful number.

379436115974400 is a `hidden beast` number, since 3 + 7 + 9 + 4 + 3 + 6 + 1 + 159 + 74 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136597001750784 + 242839114223616 = 11687472^2 + 15583296^2 .

It is a super-2 number, since 2×379436115974400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4674948219 + ... + 4675029381.

Almost surely, 2^{379436115974400} is an apocalyptic number.

379436115974400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

379436115974400 is the 19479120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379436115974400

379436115974400 is an abundant number, since it is smaller than the sum of its proper divisors (977150349603489).

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

379436115974400 is an frugal number, since it uses more digits than its factorization.

379436115974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162358 (or 81173 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 379436115974400 in words is "three hundred seventy-nine trillion, four hundred thirty-six billion, one hundred fifteen million, nine hundred seventy-four thousand, four hundred".