353856000960 has 3024 divisors, whose sum is σ = 1751871820608. Its totient is φ = 64945520640.

The previous prime is 353856000887. The next prime is 353856000973. The reversal of 353856000960 is 69000658353.

353856000960 is a `hidden beast` number, since 3 + 5 + 38 + 5 + 600 + 0 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 6676528294 + ... + 6676528346.

It is an arithmetic number, because the mean of its divisors is an integer number (579322692).

Almost surely, 2^353856000960 is an apocalyptic number.

353856000960 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 353856000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875935910304).

353856000960 is an abundant number, since it is smaller than the sum of its proper divisors (1398015819648).

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

353856000960 is a wasteful number, since it uses less digits than its factorization.

353856000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 353856000960 in words is "three hundred fifty-three billion, eight hundred fifty-six million, nine hundred sixty", and thus it is an aban number.