346057728 has 88 divisors (see below), whose sum is σ = 930680832. Its totient is φ = 114315264.

The previous prime is 346057727. The next prime is 346057769. The reversal of 346057728 is 827750643.

It is a super-2 number, since 2×346057728² = 239511902217043968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 346057728.

It is not an unprimeable number, because it can be changed into a prime (346057727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389701 + ... + 390587.

Almost surely, 2^346057728 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 346057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465340416).

346057728 is an abundant number, since it is smaller than the sum of its proper divisors (584623104).

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

346057728 is a wasteful number, since it uses less digits than its factorization.

346057728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 346057728 is about 18602.6269112725. The cubic root of 346057728 is about 702.0739364176.

The spelling of 346057728 in words is "three hundred forty-six million, fifty-seven thousand, seven hundred twenty-eight".