380038804992 has 1920 divisors, whose sum is σ = 1580504555520. Its totient is φ = 87369891840.

The previous prime is 380038804939. The next prime is 380038805017. The reversal of 380038804992 is 299408830083.

It is a happy number.

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 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, 8838111723 + ... + 8838111765.

It is an arithmetic number, because the mean of its divisors is an integer number (823179456).

Almost surely, 2^380038804992 is an apocalyptic number.

380038804992 is a gapful number since it is divisible by the number (32) 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 380038804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790252277760).

380038804992 is an abundant number, since it is smaller than the sum of its proper divisors (1200465750528).

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

380038804992 is a wasteful number, since it uses less digits than its factorization.

380038804992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

It can be divided in two parts, 380038 and 804992, that added together give a triangular number (1185030 = T₁₅₃₉).

The spelling of 380038804992 in words is "three hundred eighty billion, thirty-eight million, eight hundred four thousand, nine hundred ninety-two".