380001792 has 80 divisors (see below), whose sum is σ = 1026519120. Its totient is φ = 124895232.

The previous prime is 380001781. The next prime is 380001827. The reversal of 380001792 is 297100083.

It is a happy number.

It is a super-2 number, since 2×380001792² = 288802723846422528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110434 + ... + 113822.

It is an arithmetic number, because the mean of its divisors is an integer number (12831489).

Almost surely, 2^380001792 is an apocalyptic number.

380001792 is a gapful number since it is divisible by the number (32) 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 380001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513259560).

380001792 is an abundant number, since it is smaller than the sum of its proper divisors (646517328).

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

380001792 is an equidigital number, since it uses as much as digits as its factorization.

380001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 380001792 is about 19493.6346533939. The cubic root of 380001792 is about 724.3167829157.

The spelling of 380001792 in words is "three hundred eighty million, one thousand, seven hundred ninety-two".