363363660 has 288 divisors, whose sum is σ = 1283143680. Its totient is φ = 82368000.

The previous prime is 363363659. The next prime is 363363673. The reversal of 363363660 is 66363363.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3597610 + ... + 3597710.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2^363363660 is an apocalyptic number.

363363660 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 363363660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

363363660 is an abundant number, since it is smaller than the sum of its proper divisors (919780020).

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

363363660 is a wasteful number, since it uses less digits than its factorization.

363363660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The square root of 363363660 is about 19062.1000941659. The cubic root of 363363660 is about 713.5873848834.

The spelling of 363363660 in words is "three hundred sixty-three million, three hundred sixty-three thousand, six hundred sixty".