344432400000000 has 792 divisors, whose sum is σ = 1235875617231360. Its totient is φ = 84779520000000.

The previous prime is 344432399999983. The next prime is 344432400000001. The reversal of 344432400000000 is 4234443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (344432400000001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15599988961 + ... + 15600011039.

Almost surely, 2^{344432400000000} is an apocalyptic number.

344432400000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344432400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617937808615680).

344432400000000 is an abundant number, since it is smaller than the sum of its proper divisors (891443217231360).

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

344432400000000 is an frugal number, since it uses more digits than its factorization.

344432400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22155 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 344432400000000 its reverse (4234443), we get a palindrome (344432404234443).

The spelling of 344432400000000 in words is "three hundred forty-four trillion, four hundred thirty-two billion, four hundred million", and thus it is an aban number.