363799296 has 288 divisors, whose sum is σ = 1258449920. Its totient is φ = 101523456.

The previous prime is 363799283. The next prime is 363799297. The reversal of 363799296 is 692997363.

It is a happy number.

363799296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (363799297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3531981 + ... + 3532083.

Almost surely, 2^363799296 is an apocalyptic number.

363799296 is a gapful number since it is divisible by the number (36) 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 363799296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629224960).

363799296 is an abundant number, since it is smaller than the sum of its proper divisors (894650624).

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

363799296 is a wasteful number, since it uses less digits than its factorization.

363799296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 54.

The square root of 363799296 is about 19073.5234290888. The cubic root of 363799296 is about 713.8724438472.

The spelling of 363799296 in words is "three hundred sixty-three million, seven hundred ninety-nine thousand, two hundred ninety-six".