344800890 has 96 divisors (see below), whose sum is σ = 1028941056. Its totient is φ = 78474240.

The previous prime is 344800873. The next prime is 344800901. The reversal of 344800890 is 98008443.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164650 + ... + 166730.

It is an arithmetic number, because the mean of its divisors is an integer number (10718136).

Almost surely, 2^344800890 is an apocalyptic number.

344800890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344800890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514470528).

344800890 is an abundant number, since it is smaller than the sum of its proper divisors (684140166).

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

344800890 is a wasteful number, since it uses less digits than its factorization.

344800890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 344800890 is about 18568.8149864228. The cubic root of 344800890 is about 701.2229573870. Note that the first 3 decimals are identical.

The spelling of 344800890 in words is "three hundred forty-four million, eight hundred thousand, eight hundred ninety".