351334656 has 108 divisors (see below), whose sum is σ = 1045873920. Its totient is φ = 113310720.

The previous prime is 351334649. The next prime is 351334657. The reversal of 351334656 is 656433153.

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

It is a self number, because there is not a number n which added to its sum of digits gives 351334656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351334657) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 68965 + ... + 73883.

Almost surely, 2^351334656 is an apocalyptic number.

351334656 is a gapful number since it is divisible by the number (36) 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 351334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522936960).

351334656 is an abundant number, since it is smaller than the sum of its proper divisors (694539264).

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

351334656 is a wasteful number, since it uses less digits than its factorization.

351334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4955 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 351334656 is about 18743.9231752587. The cubic root of 351334656 is about 705.6245197952.

The spelling of 351334656 in words is "three hundred fifty-one million, three hundred thirty-four thousand, six hundred fifty-six".