346916736 has 128 divisors (see below), whose sum is σ = 1051946400. Its totient is φ = 112472064.

The previous prime is 346916723. The next prime is 346916737. The reversal of 346916736 is 637619643.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 346916691 and 346916700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346916737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126516 + ... + 129228.

Almost surely, 2^346916736 is an apocalyptic number.

346916736 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 346916736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525973200).

346916736 is an abundant number, since it is smaller than the sum of its proper divisors (705029664).

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

346916736 is a wasteful number, since it uses less digits than its factorization.

346916736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2755 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 346916736 is about 18625.7009532527. The cubic root of 346916736 is about 702.6543682919.

The spelling of 346916736 in words is "three hundred forty-six million, nine hundred sixteen thousand, seven hundred thirty-six".