351104864 has 48 divisors (see below), whose sum is σ = 755833680. Its totient is φ = 159221760.

The previous prime is 351104851. The next prime is 351104879. The reversal of 351104864 is 468401153.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 351104864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199412 + ... + 201164.

It is an arithmetic number, because the mean of its divisors is an integer number (15746535).

Almost surely, 2^351104864 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 351104864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377916840).

351104864 is an abundant number, since it is smaller than the sum of its proper divisors (404728816).

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

351104864 is a wasteful number, since it uses less digits than its factorization.

351104864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 351104864 is about 18737.7923993196. The cubic root of 351104864 is about 705.4706472877.

The spelling of 351104864 in words is "three hundred fifty-one million, one hundred four thousand, eight hundred sixty-four".