380348172792 has 288 divisors, whose sum is σ = 1228336789680. Its totient is φ = 105955153920.

The previous prime is 380348172791. The next prime is 380348172871. The reversal of 380348172792 is 297271843083.

380348172792 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 481 + 72 + 7 + 92 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380348172791) 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 71 ways as a sum of consecutive naturals, for example, 100274448 + ... + 100278240.

Almost surely, 2^380348172792 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 380348172792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614168394840).

380348172792 is an abundant number, since it is smaller than the sum of its proper divisors (847988616888).

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

380348172792 is a wasteful number, since it uses less digits than its factorization.

380348172792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 380348172792 in words is "three hundred eighty billion, three hundred forty-eight million, one hundred seventy-two thousand, seven hundred ninety-two".