346678416 has 120 divisors (see below), whose sum is σ = 1174103424. Its totient is φ = 93219840.

The previous prime is 346678403. The next prime is 346678421. The reversal of 346678416 is 614876643.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7021 + ... + 27251.

Almost surely, 2^346678416 is an apocalyptic number.

346678416 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 346678416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587051712).

346678416 is an abundant number, since it is smaller than the sum of its proper divisors (827425008).

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

346678416 is a wasteful number, since it uses less digits than its factorization.

346678416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20269 (or 20260 counting only the distinct ones).

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

The square root of 346678416 is about 18619.3022425654. The cubic root of 346678416 is about 702.4934315483.

The spelling of 346678416 in words is "three hundred forty-six million, six hundred seventy-eight thousand, four hundred sixteen".