380734219800 has 1152 divisors, whose sum is σ = 1517527872000. Its totient is φ = 87550848000.

The previous prime is 380734219799. The next prime is 380734219847. The reversal of 380734219800 is 8912437083.

380734219800 is a `hidden beast` number, since 3 + 80 + 73 + 421 + 9 + 80 + 0 = 666.

It is a super-2 number, since 2×380734219800² (a number of 24 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 1345350459 + ... + 1345350741.

It is an arithmetic number, because the mean of its divisors is an integer number (1317298500).

Almost surely, 2^380734219800 is an apocalyptic number.

380734219800 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 380734219800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758763936000).

380734219800 is an abundant number, since it is smaller than the sum of its proper divisors (1136793652200).

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

380734219800 is a wasteful number, since it uses less digits than its factorization.

380734219800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 380734219800 in words is "three hundred eighty billion, seven hundred thirty-four million, two hundred nineteen thousand, eight hundred".