363363840 has 320 divisors, whose sum is σ = 1477048320. Its totient is φ = 82944000.

The previous prime is 363363839. The next prime is 363363857. The reversal of 363363840 is 48363363.

It is a happy number.

363363840 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 (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 363363795 and 363363804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483465 + ... + 484215.

It is an arithmetic number, because the mean of its divisors is an integer number (4615776).

Almost surely, 2^363363840 is an apocalyptic number.

363363840 is a gapful number since it is divisible by the number (30) 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 363363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738524160).

363363840 is an abundant number, since it is smaller than the sum of its proper divisors (1113684480).

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

363363840 is an equidigital number, since it uses as much as digits as its factorization.

363363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 363363840 is about 19062.1048155758. The cubic root of 363363840 is about 713.5875027137.

The spelling of 363363840 in words is "three hundred sixty-three million, three hundred sixty-three thousand, eight hundred forty".