343073664 has 128 divisors (see below), whose sum is σ = 1032199200. Its totient is φ = 112140288.

The previous prime is 343073663. The next prime is 343073707. The reversal of 343073664 is 466370343.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343073663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182232 + ... + 184104.

Almost surely, 2^343073664 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 343073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516099600).

343073664 is an abundant number, since it is smaller than the sum of its proper divisors (689125536).

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

343073664 is a wasteful number, since it uses less digits than its factorization.

343073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 343073664 is about 18522.2478117533. The cubic root of 343073664 is about 700.0501079777.

The spelling of 343073664 in words is "three hundred forty-three million, seventy-three thousand, six hundred sixty-four".