361857792 has 72 divisors (see below), whose sum is σ = 994201600. Its totient is φ = 116720640.

The previous prime is 361857791. The next prime is 361857803. The reversal of 361857792 is 297758163.

It is a super-2 number, since 2×361857792² = 261882123262230528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (361857791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16209 + ... + 31407.

Almost surely, 2^361857792 is an apocalyptic number.

361857792 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 361857792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497100800).

361857792 is an abundant number, since it is smaller than the sum of its proper divisors (632343808).

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

361857792 is a wasteful number, since it uses less digits than its factorization.

361857792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15249 (or 15235 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 361857792 is about 19022.5600800733. The cubic root of 361857792 is about 712.6002596986.

The spelling of 361857792 in words is "three hundred sixty-one million, eight hundred fifty-seven thousand, seven hundred ninety-two".