380633701392 has 640 divisors, whose sum is σ = 1331124326400. Its totient is φ = 101833998336.

The previous prime is 380633701391. The next prime is 380633701397. The reversal of 380633701392 is 293107336083.

380633701392 is a `hidden beast` number, since 3 + 8 + 0 + 633 + 7 + 0 + 1 + 3 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (380633701391) 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 127 ways as a sum of consecutive naturals, for example, 727788843 + ... + 727789365.

It is an arithmetic number, because the mean of its divisors is an integer number (2079881760).

Almost surely, 2^380633701392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380633701392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665562163200).

380633701392 is an abundant number, since it is smaller than the sum of its proper divisors (950490625008).

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

380633701392 is a wasteful number, since it uses less digits than its factorization.

380633701392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 380633701392 in words is "three hundred eighty billion, six hundred thirty-three million, seven hundred one thousand, three hundred ninety-two".