353482768800 has 504 divisors, whose sum is σ = 1478666046816. Its totient is φ = 80795128320.

The previous prime is 353482768781. The next prime is 353482768811. The reversal of 353482768800 is 8867284353.

353482768800 is a `hidden beast` number, since 3 + 534 + 8 + 27 + 6 + 8 + 80 + 0 = 666.

353482768800 is digitally balanced in base 7, 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 (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4039107 + ... + 4125693.

It is an arithmetic number, because the mean of its divisors is an integer number (2933861204).

Almost surely, 2^353482768800 is an apocalyptic number.

353482768800 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 353482768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739333023408).

353482768800 is an abundant number, since it is smaller than the sum of its proper divisors (1125183278016).

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

353482768800 is an equidigital number, since it uses as much as digits as its factorization.

353482768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86632 (or 86604 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 353482768800 in words is "three hundred fifty-three billion, four hundred eighty-two million, seven hundred sixty-eight thousand, eight hundred".