380936908800 has 1014 divisors, whose sum is σ = 1619327346248. Its totient is φ = 87071293440.

The previous prime is 380936908799. The next prime is 380936908817. The reversal of 380936908800 is 8809639083.

It is a super-2 number, since 2×380936908800² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 77 ways as a sum of consecutive naturals, for example, 54419558397 + ... + 54419558403.

Almost surely, 2^380936908800 is an apocalyptic number.

380936908800 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 380936908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809663673124).

380936908800 is an abundant number, since it is smaller than the sum of its proper divisors (1238390437448).

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

380936908800 is an frugal number, since it uses more digits than its factorization.

380936908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 380936908800 in words is "three hundred eighty billion, nine hundred thirty-six million, nine hundred eight thousand, eight hundred".