344064000000 has 588 divisors, whose sum is σ = 1310702597792. Its totient is φ = 78643200000.

The previous prime is 344063999977. The next prime is 344064000011. The reversal of 344064000000 is 460443.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 49151999997 + ... + 49152000003.

Almost surely, 2^344064000000 is an apocalyptic number.

344064000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

344064000000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344064000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655351298896).

344064000000 is an abundant number, since it is smaller than the sum of its proper divisors (966638597792).

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

344064000000 is an frugal number, since it uses more digits than its factorization.

344064000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Multiplying 344064000000 by its sum of digits (21), we get a square (7225344000000 = 2688000²).

344064000000 divided by its sum of digits (21) gives a square (16384000000 = 128000²).

Adding to 344064000000 its reverse (460443), we get a palindrome (344064460443).

The spelling of 344064000000 in words is "three hundred forty-four billion, sixty-four million", and thus it is an aban number.