353349120 has 160 divisors (see below), whose sum is σ = 1141176960. Its totient is φ = 93265920.

The previous prime is 353349109. The next prime is 353349151. The reversal of 353349120 is 21943353.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1067355 + ... + 1067685.

It is an arithmetic number, because the mean of its divisors is an integer number (7132356).

Almost surely, 2^353349120 is an apocalyptic number.

353349120 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 353349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570588480).

353349120 is an abundant number, since it is smaller than the sum of its proper divisors (787827840).

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

353349120 is a wasteful number, since it uses less digits than its factorization.

353349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 353349120 is about 18797.5828233313. The cubic root of 353349120 is about 706.9705745559.

The spelling of 353349120 in words is "three hundred fifty-three million, three hundred forty-nine thousand, one hundred twenty".