344413400332000 has 96 divisors (see below), whose sum is σ = 862190210516544. Its totient is φ = 135166013632000.

The previous prime is 344413400331971. The next prime is 344413400332019. The reversal of 344413400332000 is 233004314443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812083756 + ... + 812507755.

It is an arithmetic number, because the mean of its divisors is an integer number (8981148026214).

Almost surely, 2^{344413400332000} is an apocalyptic number.

It is an amenable number.

344413400332000 is an abundant number, since it is smaller than the sum of its proper divisors (517776810184544).

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

344413400332000 is a wasteful number, since it uses less digits than its factorization.

344413400332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624591589 (or 1624591571 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 344413400332000 its reverse (233004314443), we get a palindrome (344646404646443).

The spelling of 344413400332000 in words is "three hundred forty-four trillion, four hundred thirteen billion, four hundred million, three hundred thirty-two thousand".