380347761600 has 504 divisors, whose sum is σ = 1417115905920. Its totient is φ = 96569763840.

The previous prime is 380347761587. The next prime is 380347761659. The reversal of 380347761600 is 6167743083.

380347761600 is a `hidden beast` number, since 3 + 8 + 0 + 34 + 7 + 7 + 6 + 1 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 75179871 + ... + 75184929.

Almost surely, 2^380347761600 is an apocalyptic number.

380347761600 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 380347761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708557952960).

380347761600 is an abundant number, since it is smaller than the sum of its proper divisors (1036768144320).

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

380347761600 is a wasteful number, since it uses less digits than its factorization.

380347761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 380347761600 in words is "three hundred eighty billion, three hundred forty-seven million, seven hundred sixty-one thousand, six hundred".