346032864 has 192 divisors, whose sum is σ = 1077753600. Its totient is φ = 107702784.

The previous prime is 346032833. The next prime is 346032871. The reversal of 346032864 is 468230643.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756414 + ... + 1756610.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2^346032864 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 346032864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538876800).

346032864 is an abundant number, since it is smaller than the sum of its proper divisors (731720736).

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

346032864 is a wasteful number, since it uses less digits than its factorization.

346032864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

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

The square root of 346032864 is about 18601.9586065554. The cubic root of 346032864 is about 702.0571215116.

The spelling of 346032864 in words is "three hundred forty-six million, thirty-two thousand, eight hundred sixty-four".