363997872 has 180 divisors, whose sum is σ = 1201842720. Its totient is φ = 102525696.

The previous prime is 363997867. The next prime is 363997873. The reversal of 363997872 is 278799363.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (363997873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 557098 + ... + 557750.

It is an arithmetic number, because the mean of its divisors is an integer number (6676904).

Almost surely, 2^363997872 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 363997872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600921360).

363997872 is an abundant number, since it is smaller than the sum of its proper divisors (837844848).

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

363997872 is a wasteful number, since it uses less digits than its factorization.

363997872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 744 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 363997872 is about 19078.7282595041. The cubic root of 363997872 is about 714.0023067976.

The spelling of 363997872 in words is "three hundred sixty-three million, nine hundred ninety-seven thousand, eight hundred seventy-two".