346691664 has 200 divisors, whose sum is σ = 1111616352. Its totient is φ = 103438080.

The previous prime is 346691647. The next prime is 346691687. The reversal of 346691664 is 466196643.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1183102 + ... + 1183394.

Almost surely, 2^346691664 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 346691664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555808176).

346691664 is an abundant number, since it is smaller than the sum of its proper divisors (764924688).

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

346691664 is a wasteful number, since it uses less digits than its factorization.

346691664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 346691664 is about 18619.6579990074. The cubic root of 346691664 is about 702.5023798166.

The spelling of 346691664 in words is "three hundred forty-six million, six hundred ninety-one thousand, six hundred sixty-four".