344983680 has 192 divisors, whose sum is σ = 1205095320. Its totient is φ = 90931200.

The previous prime is 344983663. The next prime is 344983699. The reversal of 344983680 is 86389443.

It can be written as a sum of positive squares in 4 ways, for example, as 340623936 + 4359744 = 18456^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581464 + ... + 582056.

Almost surely, 2^344983680 is an apocalyptic number.

344983680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602547660).

344983680 is an abundant number, since it is smaller than the sum of its proper divisors (860111640).

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

344983680 is a wasteful number, since it uses less digits than its factorization.

344983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 344983680 is about 18573.7362961791. The cubic root of 344983680 is about 701.3468490828.

The spelling of 344983680 in words is "three hundred forty-four million, nine hundred eighty-three thousand, six hundred eighty".