346416768 has 96 divisors (see below), whose sum is σ = 1009139040. Its totient is φ = 114049536.

The previous prime is 346416767. The next prime is 346416787. The reversal of 346416768 is 867614643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (346416761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93805 + ... + 97427.

It is an arithmetic number, because the mean of its divisors is an integer number (10511865).

Almost surely, 2^346416768 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 346416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504569520).

346416768 is an abundant number, since it is smaller than the sum of its proper divisors (662722272).

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

346416768 is a wasteful number, since it uses less digits than its factorization.

346416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3711 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 346416768 is about 18612.2746594821. The cubic root of 346416768 is about 702.3166565185.

The spelling of 346416768 in words is "three hundred forty-six million, four hundred sixteen thousand, seven hundred sixty-eight".