344065256640 has 672 divisors, whose sum is σ = 1380617447040. Its totient is φ = 77026295808.

The previous prime is 344065256617. The next prime is 344065256659. The reversal of 344065256640 is 46652560443.

It is a happy number.

344065256640 is a `hidden beast` number, since 3 + 4 + 40 + 6 + 5 + 2 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 202748272 + ... + 202749968.

Almost surely, 2^344065256640 is an apocalyptic number.

344065256640 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 344065256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690308723520).

344065256640 is an abundant number, since it is smaller than the sum of its proper divisors (1036552190400).

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

344065256640 is a wasteful number, since it uses less digits than its factorization.

344065256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 344065256640 in words is "three hundred forty-four billion, sixty-five million, two hundred fifty-six thousand, six hundred forty".