344892122640 has 1600 divisors, whose sum is σ = 1468966980096. Its totient is φ = 74100178944.

The previous prime is 344892122587. The next prime is 344892122651. The reversal of 344892122640 is 46221298443.

344892122640 is a `hidden beast` number, since 3 + 4 + 489 + 2 + 122 + 6 + 40 = 666.

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

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 1218699939 + ... + 1218700221.

Almost surely, 2^344892122640 is an apocalyptic number.

344892122640 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 344892122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734483490048).

344892122640 is an abundant number, since it is smaller than the sum of its proper divisors (1124074857456).

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

344892122640 is a wasteful number, since it uses less digits than its factorization.

344892122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 344892122640 in words is "three hundred forty-four billion, eight hundred ninety-two million, one hundred twenty-two thousand, six hundred forty".