344964960 has 192 divisors, whose sum is σ = 1233792000. Its totient is φ = 89980416.

The previous prime is 344964959. The next prime is 344964967. The reversal of 344964960 is 69469443.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344964967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202191 + ... + 203889.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2^344964960 is an apocalyptic number.

344964960 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 344964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

344964960 is an abundant number, since it is smaller than the sum of its proper divisors (888827040).

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

344964960 is a wasteful number, since it uses less digits than its factorization.

344964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 344964960 is about 18573.2323519629. The cubic root of 344964960 is about 701.3341630232.

The spelling of 344964960 in words is "three hundred forty-four million, nine hundred sixty-four thousand, nine hundred sixty".