344960640 has 128 divisors (see below), whose sum is σ = 1221796800. Its totient is φ = 91984896.

The previous prime is 344960633. The next prime is 344960641. The reversal of 344960640 is 46069443.

344960640 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344960595 and 344960604.

It is not an unprimeable number, because it can be changed into a prime (344960641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7299 + ... + 27261.

Almost surely, 2^344960640 is an apocalyptic number.

344960640 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 344960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610898400).

344960640 is an abundant number, since it is smaller than the sum of its proper divisors (876836160).

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

344960640 is a wasteful number, since it uses less digits than its factorization.

344960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19991 (or 19973 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 344960640 is about 18573.1160552019. The cubic root of 344960640 is about 701.3312354059.

The spelling of 344960640 in words is "three hundred forty-four million, nine hundred sixty thousand, six hundred forty".