344307200000 has 312 divisors, whose sum is σ = 885083288544. Its totient is φ = 133816320000.

The previous prime is 344307199991. The next prime is 344307200033. The reversal of 344307200000 is 2703443.

It is a happy number.

It is a super-4 number, since 4×344307200000⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 473599637 + ... + 473600363.

It is an arithmetic number, because the mean of its divisors is an integer number (2836805412).

Almost surely, 2^344307200000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344307200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442541644272).

344307200000 is an abundant number, since it is smaller than the sum of its proper divisors (540776088544).

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

344307200000 is an frugal number, since it uses more digits than its factorization.

344307200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

Adding to 344307200000 its reverse (2703443), we get a palindrome (344309903443).

The spelling of 344307200000 in words is "three hundred forty-four billion, three hundred seven million, two hundred thousand".