346864032 has 84 divisors (see below), whose sum is σ = 1023933330. Its totient is φ = 115613568.

The previous prime is 346864013. The next prime is 346864079. The reversal of 346864032 is 230468643.

It is a happy number.

346864032 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 640 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 325297296 + 21566736 = 18036^2 + 4644^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15894 + ... + 30762.

Almost surely, 2^346864032 is an apocalyptic number.

346864032 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 346864032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511966665).

346864032 is an abundant number, since it is smaller than the sum of its proper divisors (677069298).

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

346864032 is an equidigital number, since it uses as much as digits as its factorization.

346864032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14897 (or 14874 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 346864032 is about 18624.2860802770. The cubic root of 346864032 is about 702.6187837961.

The spelling of 346864032 in words is "three hundred forty-six million, eight hundred sixty-four thousand, thirty-two".