353129920 has 112 divisors (see below), whose sum is σ = 988027488. Its totient is φ = 118517760.

The previous prime is 353129857. The next prime is 353129929. The reversal of 353129920 is 29921353.

It is a super-3 number, since 3×353129920³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353129929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41902 + ... + 49618.

It is an arithmetic number, because the mean of its divisors is an integer number (8821674).

Almost surely, 2^353129920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494013744).

353129920 is an abundant number, since it is smaller than the sum of its proper divisors (634897568).

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

353129920 is a wasteful number, since it uses less digits than its factorization.

353129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7758 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 353129920 is about 18791.7513819229. The cubic root of 353129920 is about 706.8243546683.

The spelling of 353129920 in words is "three hundred fifty-three million, one hundred twenty-nine thousand, nine hundred twenty".