380279689920 has 672 divisors, whose sum is σ = 1464049131840. Its totient is φ = 92875161600.

The previous prime is 380279689883. The next prime is 380279689921. The reversal of 380279689920 is 29986972083.

380279689920 is a `hidden beast` number, since 380 + 2 + 7 + 96 + 89 + 92 + 0 = 666.

It is a super-2 number, since 2×380279689920² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380279689921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200040970 + ... + 200042870.

Almost surely, 2^380279689920 is an apocalyptic number.

380279689920 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 380279689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732024565920).

380279689920 is an abundant number, since it is smaller than the sum of its proper divisors (1083769441920).

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

380279689920 is a wasteful number, since it uses less digits than its factorization.

380279689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 380279689920 in words is "three hundred eighty billion, two hundred seventy-nine million, six hundred eighty-nine thousand, nine hundred twenty".