346610432 has 72 divisors (see below), whose sum is σ = 797454336. Its totient is φ = 147280896.

The previous prime is 346610431. The next prime is 346610443. The reversal of 346610432 is 234016643.

346610432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 346610395 and 346610404.

It is not an unprimeable number, because it can be changed into a prime (346610431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226823 + ... + 228345.

Almost surely, 2^346610432 is an apocalyptic number.

346610432 is a gapful number since it is divisible by the number (32) 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 346610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398727168).

346610432 is an abundant number, since it is smaller than the sum of its proper divisors (450843904).

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

346610432 is a wasteful number, since it uses less digits than its factorization.

346610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 346610432 is about 18617.4765207318. The cubic root of 346610432 is about 702.4475086474.

The spelling of 346610432 in words is "three hundred forty-six million, six hundred ten thousand, four hundred thirty-two".