344777664 has 112 divisors (see below), whose sum is σ = 1137367296. Its totient is φ = 89548800.

The previous prime is 344777639. The next prime is 344777681. The reversal of 344777664 is 466777443.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 3124 + ... + 26444.

Almost surely, 2^344777664 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 344777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568683648).

344777664 is an abundant number, since it is smaller than the sum of its proper divisors (792589632).

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

344777664 is a wasteful number, since it uses less digits than its factorization.

344777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23354 (or 23344 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 48.

The square root of 344777664 is about 18568.1895724920. The cubic root of 344777664 is about 701.2072120969.

The spelling of 344777664 in words is "three hundred forty-four million, seven hundred seventy-seven thousand, six hundred sixty-four".