351668304 has 100 divisors (see below), whose sum is σ = 1096177236. Its totient is φ = 108200448.

The previous prime is 351668293. The next prime is 351668329. The reversal of 351668304 is 403866153.

It can be written as a sum of positive squares in 2 ways, for example, as 81000000 + 270668304 = 9000^2 + 16452^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6412 + ... + 27284.

Almost surely, 2^351668304 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 351668304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548088618).

351668304 is an abundant number, since it is smaller than the sum of its proper divisors (744508932).

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

351668304 is a wasteful number, since it uses less digits than its factorization.

351668304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20906 (or 20891 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 351668304 is about 18752.8212277513. The cubic root of 351668304 is about 705.8478166044.

The spelling of 351668304 in words is "three hundred fifty-one million, six hundred sixty-eight thousand, three hundred four".