363399696 has 240 divisors, whose sum is σ = 1194298560. Its totient is φ = 105960960.

The previous prime is 363399689. The next prime is 363399697. The reversal of 363399696 is 696993363.

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 (363399697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240126 + ... + 1240418.

It is an arithmetic number, because the mean of its divisors is an integer number (4976244).

Almost surely, 2^363399696 is an apocalyptic number.

363399696 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 363399696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597149280).

363399696 is an abundant number, since it is smaller than the sum of its proper divisors (830898864).

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

363399696 is a wasteful number, since it uses less digits than its factorization.

363399696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 338 counting only the distinct ones).

The product of its digits is 4251528, while the sum is 54.

The square root of 363399696 is about 19063.0452971187. The cubic root of 363399696 is about 713.6109737264.

The spelling of 363399696 in words is "three hundred sixty-three million, three hundred ninety-nine thousand, six hundred ninety-six".