346876464 has 160 divisors (see below), whose sum is σ = 1045647360. Its totient is φ = 97977600.

The previous prime is 346876457. The next prime is 346876513. The reversal of 346876464 is 464678643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 712029 + ... + 712515.

It is an arithmetic number, because the mean of its divisors is an integer number (6535296).

Almost surely, 2^346876464 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 346876464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522823680).

346876464 is an abundant number, since it is smaller than the sum of its proper divisors (698770896).

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

346876464 is a wasteful number, since it uses less digits than its factorization.

346876464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 346876464 is about 18624.6198350463. The cubic root of 346876464 is about 702.6271779137.

The spelling of 346876464 in words is "three hundred forty-six million, eight hundred seventy-six thousand, four hundred sixty-four".