380315392000 has 192 divisors, whose sum is σ = 971134164000. Its totient is φ = 148584038400.

The previous prime is 380315391979. The next prime is 380315392057. The reversal of 380315392000 is 293513083.

It is a super-2 number, since 2×380315392000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10990726 + ... + 11025274.

Almost surely, 2^380315392000 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 380315392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485567082000).

380315392000 is an abundant number, since it is smaller than the sum of its proper divisors (590818772000).

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

380315392000 is an equidigital number, since it uses as much as digits as its factorization.

380315392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34629 (or 34599 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 380315392000 in words is "three hundred eighty billion, three hundred fifteen million, three hundred ninety-two thousand".