346819968 has 160 divisors (see below), whose sum is σ = 1126330920. Its totient is φ = 105062400.

The previous prime is 346819937. The next prime is 346819973. The reversal of 346819968 is 869918643.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112528 + ... + 115568.

Almost surely, 2^346819968 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 346819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563165460).

346819968 is an abundant number, since it is smaller than the sum of its proper divisors (779510952).

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

346819968 is a wasteful number, since it uses less digits than its factorization.

346819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3057 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 346819968 is about 18623.1030711855. The cubic root of 346819968 is about 702.5890300575.

It can be divided in two parts, 3468 and 19968, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 346819968 in words is "three hundred forty-six million, eight hundred nineteen thousand, nine hundred sixty-eight".