351330984 has 96 divisors (see below), whose sum is σ = 1000290720. Its totient is φ = 111259008.

The previous prime is 351330983. The next prime is 351331007. The reversal of 351330984 is 489033153.

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

It is not an unprimeable number, because it can be changed into a prime (351330983) 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 23 ways as a sum of consecutive naturals, for example, 113019 + ... + 116085.

It is an arithmetic number, because the mean of its divisors is an integer number (10419695).

Almost surely, 2^351330984 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 351330984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500145360).

351330984 is an abundant number, since it is smaller than the sum of its proper divisors (648959736).

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

351330984 is a wasteful number, since it uses less digits than its factorization.

351330984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 351330984 is about 18743.8252232569. The cubic root of 351330984 is about 705.6220614911.

The spelling of 351330984 in words is "three hundred fifty-one million, three hundred thirty thousand, nine hundred eighty-four".