353640913920 has 792 divisors, whose sum is σ = 1478479058784. Its totient is φ = 76552667136.

The previous prime is 353640913889. The next prime is 353640913931. The reversal of 353640913920 is 29319046353.

353640913920 is a `hidden beast` number, since 3 + 536 + 4 + 0 + 91 + 3 + 9 + 20 = 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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116442642 + ... + 116445678.

Almost surely, 2^353640913920 is an apocalyptic number.

353640913920 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 353640913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739239529392).

353640913920 is an abundant number, since it is smaller than the sum of its proper divisors (1124838144864).

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

353640913920 is a wasteful number, since it uses less digits than its factorization.

353640913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 353640913920 in words is "three hundred fifty-three billion, six hundred forty million, nine hundred thirteen thousand, nine hundred twenty".