344023680 has 512 divisors, whose sum is σ = 1480550400. Its totient is φ = 65617920.

The previous prime is 344023657. The next prime is 344023681. The reversal of 344023680 is 86320443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (344023681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921831 + ... + 1922009.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^344023680 is an apocalyptic number.

344023680 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 344023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

344023680 is an abundant number, since it is smaller than the sum of its proper divisors (1136526720).

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

344023680 is a wasteful number, since it uses less digits than its factorization.

344023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 344023680 is about 18547.8753500232. The cubic root of 344023680 is about 700.6956893181.

The spelling of 344023680 in words is "three hundred forty-four million, twenty-three thousand, six hundred eighty".