363485880000 has 700 divisors, whose sum is σ = 1378266844680. Its totient is φ = 94639104000.

The previous prime is 363485879959. The next prime is 363485880007. The reversal of 363485880000 is 88584363.

363485880000 is a `hidden beast` number, since 3 + 63 + 4 + 8 + 588 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (363485880007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 139318696 + ... + 139321304.

Almost surely, 2^363485880000 is an apocalyptic number.

363485880000 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 363485880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689133422340).

363485880000 is an abundant number, since it is smaller than the sum of its proper divisors (1014780964680).

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

363485880000 is an equidigital number, since it uses as much as digits as its factorization.

363485880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 363485880000 in words is "three hundred sixty-three billion, four hundred eighty-five million, eight hundred eighty thousand".