380416684032 has 520 divisors, whose sum is σ = 1416924001152. Its totient is φ = 98802892800.

The previous prime is 380416684019. The next prime is 380416684127. The reversal of 380416684032 is 230486614083.

380416684032 is a `hidden beast` number, since 3 + 80 + 4 + 166 + 8 + 403 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25539307 + ... + 25554197.

Almost surely, 2^380416684032 is an apocalyptic number.

380416684032 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 380416684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708462000576).

380416684032 is an abundant number, since it is smaller than the sum of its proper divisors (1036507317120).

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

380416684032 is a wasteful number, since it uses less digits than its factorization.

380416684032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14945 (or 14914 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 380416684032 in words is "three hundred eighty billion, four hundred sixteen million, six hundred eighty-four thousand, thirty-two".