344513212000 has 96 divisors (see below), whose sum is σ = 847978002144. Its totient is φ = 137559616000.

The previous prime is 344513211983. The next prime is 344513212067. The reversal of 344513212000 is 212315443.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175510 + ... + 2328490.

It is an arithmetic number, because the mean of its divisors is an integer number (8833104189).

Almost surely, 2^344513212000 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 344513212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423989001072).

344513212000 is an abundant number, since it is smaller than the sum of its proper divisors (503464790144).

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

344513212000 is a wasteful number, since it uses less digits than its factorization.

344513212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153569 (or 153551 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 344513212000 its reverse (212315443), we get a palindrome (344725527443).

The spelling of 344513212000 in words is "three hundred forty-four billion, five hundred thirteen million, two hundred twelve thousand".