353105352 has 64 divisors (see below), whose sum is σ = 993312000. Its totient is φ = 116206272.

The previous prime is 353105309. The next prime is 353105371. The reversal of 353105352 is 253501353.

It is a super-2 number, since 2×353105352² = 249366779222087808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6718 + ... + 27410.

It is an arithmetic number, because the mean of its divisors is an integer number (15520500).

Almost surely, 2^353105352 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 353105352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496656000).

353105352 is an abundant number, since it is smaller than the sum of its proper divisors (640206648).

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

353105352 is a wasteful number, since it uses less digits than its factorization.

353105352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20787 (or 20777 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 353105352 is about 18791.0976794864. The cubic root of 353105352 is about 706.8079625300.

The spelling of 353105352 in words is "three hundred fifty-three million, one hundred five thousand, three hundred fifty-two".