380081532600 has 960 divisors, whose sum is σ = 1699076966400. Its totient is φ = 76422528000.

The previous prime is 380081532541. The next prime is 380081532637. The reversal of 380081532600 is 6235180083.

380081532600 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 8 + 15 + 32 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38664486 + ... + 38674314.

It is an arithmetic number, because the mean of its divisors is an integer number (1769871840).

Almost surely, 2^380081532600 is an apocalyptic number.

380081532600 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 380081532600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849538483200).

380081532600 is an abundant number, since it is smaller than the sum of its proper divisors (1318995433800).

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

380081532600 is a wasteful number, since it uses less digits than its factorization.

380081532600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 380081532600 in words is "three hundred eighty billion, eighty-one million, five hundred thirty-two thousand, six hundred".