344210132000000 has 504 divisors, whose sum is σ = 989262897272832. Its totient is φ = 117084441600000.

The previous prime is 344210131999997. The next prime is 344210132000003. The reversal of 344210132000000 is 231012443.

It is an interprime number because it is at equal distance from previous prime (344210131999997) and next prime (344210132000003).

It is a super-2 number, since 2×344210132000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344210132000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3555951602 + ... + 3556048398.

Almost surely, 2^{344210132000000} 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 344210132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494631448636416).

344210132000000 is an abundant number, since it is smaller than the sum of its proper divisors (645052765272832).

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

344210132000000 is an frugal number, since it uses more digits than its factorization.

344210132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96977 (or 96938 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 344210132000000 its reverse (231012443), we get a palindrome (344210363012443).

The spelling of 344210132000000 in words is "three hundred forty-four trillion, two hundred ten billion, one hundred thirty-two million", and thus it is an aban number.