380934153600 has 1536 divisors, whose sum is σ = 1721139840000. Its totient is φ = 72975974400.

The previous prime is 380934153539. The next prime is 380934153617. The reversal of 380934153600 is 6351439083.

It is a super-2 number, since 2×380934153600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 470869996 + ... + 470870804.

It is an arithmetic number, because the mean of its divisors is an integer number (1120533750).

Almost surely, 2^380934153600 is an apocalyptic number.

380934153600 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 380934153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860569920000).

380934153600 is an abundant number, since it is smaller than the sum of its proper divisors (1340205686400).

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

380934153600 is a wasteful number, since it uses less digits than its factorization.

380934153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 380934153600 in words is "three hundred eighty billion, nine hundred thirty-four million, one hundred fifty-three thousand, six hundred".