380938801824 has 192 divisors, whose sum is σ = 1270475136000. Its totient is φ = 108781449984.

The previous prime is 380938801801. The next prime is 380938801879. The reversal of 380938801824 is 428108839083.

It is a happy number.

380938801824 is a `hidden beast` number, since 3 + 80 + 9 + 388 + 0 + 182 + 4 = 666.

It is a super-2 number, since 2×380938801824² (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 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 31 ways as a sum of consecutive naturals, for example, 12001527 + ... + 12033225.

It is an arithmetic number, because the mean of its divisors is an integer number (6617058000).

Almost surely, 2^380938801824 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 380938801824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635237568000).

380938801824 is an abundant number, since it is smaller than the sum of its proper divisors (889536334176).

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

380938801824 is a wasteful number, since it uses less digits than its factorization.

380938801824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33712 (or 33698 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 380938801824 in words is "three hundred eighty billion, nine hundred thirty-eight million, eight hundred one thousand, eight hundred twenty-four".