380113776 has 120 divisors (see below), whose sum is σ = 1269271440. Its totient is φ = 108597888.

The previous prime is 380113763. The next prime is 380113819. The reversal of 380113776 is 677311083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 380113776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12190 + ... + 30146.

It is an arithmetic number, because the mean of its divisors is an integer number (10577262).

Almost surely, 2^380113776 is an apocalyptic number.

380113776 is a gapful number since it is divisible by the number (36) 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 380113776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634635720).

380113776 is an abundant number, since it is smaller than the sum of its proper divisors (889157664).

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

380113776 is a wasteful number, since it uses less digits than its factorization.

380113776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17988 (or 17969 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 380113776 is about 19496.5067640334. The cubic root of 380113776 is about 724.3879263734.

The spelling of 380113776 in words is "three hundred eighty million, one hundred thirteen thousand, seven hundred seventy-six".