353794129920 has 1728 divisors, whose sum is σ = 1648858498560. Its totient is φ = 67947724800.

The previous prime is 353794129891. The next prime is 353794129937. The reversal of 353794129920 is 29921497353.

353794129920 is a `hidden beast` number, since 3 + 53 + 79 + 412 + 99 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8629125100 + ... + 8629125140.

It is an arithmetic number, because the mean of its divisors is an integer number (954200520).

Almost surely, 2^353794129920 is an apocalyptic number.

353794129920 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 353794129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824429249280).

353794129920 is an abundant number, since it is smaller than the sum of its proper divisors (1295064368640).

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

353794129920 is a wasteful number, since it uses less digits than its factorization.

353794129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 353794129920 in words is "three hundred fifty-three billion, seven hundred ninety-four million, one hundred twenty-nine thousand, nine hundred twenty".