351673728 has 128 divisors (see below), whose sum is σ = 1093962240. Its totient is φ = 97996800.

The previous prime is 351673727. The next prime is 351673757. The reversal of 351673728 is 827376153.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 351673728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351673727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108613 + ... + 111803.

It is an arithmetic number, because the mean of its divisors is an integer number (8546580).

Almost surely, 2^351673728 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 351673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546981120).

351673728 is an abundant number, since it is smaller than the sum of its proper divisors (742288512).

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

351673728 is a wasteful number, since it uses less digits than its factorization.

351673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3244 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 351673728 is about 18752.9658454336. The cubic root of 351673728 is about 705.8514454964.

The spelling of 351673728 in words is "three hundred fifty-one million, six hundred seventy-three thousand, seven hundred twenty-eight".