380632903200 has 432 divisors, whose sum is σ = 1472460444000. Its totient is φ = 91755724800.

The previous prime is 380632903193. The next prime is 380632903213. The reversal of 380632903200 is 2309236083.

380632903200 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 329 + 0 + 320 + 0 = 666.

380632903200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14163376 + ... + 14190224.

It is an arithmetic number, because the mean of its divisors is an integer number (3408473250).

Almost surely, 2^380632903200 is an apocalyptic number.

380632903200 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 380632903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736230222000).

380632903200 is an abundant number, since it is smaller than the sum of its proper divisors (1091827540800).

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

380632903200 is a wasteful number, since it uses less digits than its factorization.

380632903200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27065 (or 27049 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 380632903200 in words is "three hundred eighty billion, six hundred thirty-two million, nine hundred three thousand, two hundred".