353016352 has 96 divisors (see below), whose sum is σ = 802267200. Its totient is φ = 151538688.

The previous prime is 353016343. The next prime is 353016379. The reversal of 353016352 is 253610353.

353016352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 353016352.

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, 465958 + ... + 466714.

It is an arithmetic number, because the mean of its divisors is an integer number (8356950).

Almost surely, 2^353016352 is an apocalyptic number.

353016352 is a gapful number since it is divisible by the number (32) 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 353016352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401133600).

353016352 is an abundant number, since it is smaller than the sum of its proper divisors (449250848).

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

353016352 is a wasteful number, since it uses less digits than its factorization.

353016352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 353016352 is about 18788.7293875877. The cubic root of 353016352 is about 706.7485740272.

The spelling of 353016352 in words is "three hundred fifty-three million, sixteen thousand, three hundred fifty-two".