353836008960 has 1920 divisors, whose sum is σ = 1523512488960. Its totient is φ = 69363302400.

The previous prime is 353836008931. The next prime is 353836008973. The reversal of 353836008960 is 69800638353.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4983605725 + ... + 4983605795.

It is an arithmetic number, because the mean of its divisors is an integer number (793496088).

Almost surely, 2^353836008960 is an apocalyptic number.

353836008960 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 353836008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761756244480).

353836008960 is an abundant number, since it is smaller than the sum of its proper divisors (1169676480000).

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

353836008960 is a wasteful number, since it uses less digits than its factorization.

353836008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 353836008960 in words is "three hundred fifty-three billion, eight hundred thirty-six million, eight thousand, nine hundred sixty".