342993664 has 72 divisors (see below), whose sum is σ = 769541472. Its totient is φ = 151388160.

The previous prime is 342993653. The next prime is 342993689. The reversal of 342993664 is 466399243.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

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, 74304 + ... + 78784.

It is an arithmetic number, because the mean of its divisors is an integer number (10688076).

Almost surely, 2^342993664 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 342993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384770736).

342993664 is an abundant number, since it is smaller than the sum of its proper divisors (426547808).

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

342993664 is a wasteful number, since it uses less digits than its factorization.

342993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4519 counting only the distinct ones).

The product of its digits is 839808, while the sum is 46.

The square root of 342993664 is about 18520.0881207407. The cubic root of 342993664 is about 699.9956897694.

The spelling of 342993664 in words is "three hundred forty-two million, nine hundred ninety-three thousand, six hundred sixty-four".