346364928 has 396 divisors, whose sum is σ = 1274134680. Its totient is φ = 89800704.

The previous prime is 346364903. The next prime is 346364929. The reversal of 346364928 is 829463643.

346364928 is a `hidden beast` number, since 3 + 4 + 636 + 4 + 9 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346364929) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5870563 + ... + 5870621.

Almost surely, 2^346364928 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 346364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637067340).

346364928 is an abundant number, since it is smaller than the sum of its proper divisors (927769752).

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

346364928 is a wasteful number, since it uses less digits than its factorization.

346364928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 346364928 is about 18610.8819780257. The cubic root of 346364928 is about 702.2816217327.

The spelling of 346364928 in words is "three hundred forty-six million, three hundred sixty-four thousand, nine hundred twenty-eight".