344434424244240 has 320 divisors, whose sum is σ = 1193079288038400. Its totient is φ = 81493475174400.

The previous prime is 344434424244173. The next prime is 344434424244289. The reversal of 344434424244240 is 42442424434443.

It is a super-2 number, since 2×344434424244240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 344434424244240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13696270 + ... + 29605010.

It is an arithmetic number, because the mean of its divisors is an integer number (3728372775120).

Almost surely, 2^{344434424244240} is an apocalyptic number.

344434424244240 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 344434424244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596539644019200).

344434424244240 is an abundant number, since it is smaller than the sum of its proper divisors (848644863794160).

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

344434424244240 is a wasteful number, since it uses less digits than its factorization.

344434424244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15908966 (or 15908960 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 48.

Adding to 344434424244240 its reverse (42442424434443), we get a palindrome (386876848678683).

The spelling of 344434424244240 in words is "three hundred forty-four trillion, four hundred thirty-four billion, four hundred twenty-four million, two hundred forty-four thousand, two hundred forty".