344312032400424 has 320 divisors, whose sum is σ = 1056312287458560. Its totient is φ = 103915835228160.

The previous prime is 344312032400419. The next prime is 344312032400437. The reversal of 344312032400424 is 424004230213443.

344312032400424 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 1 + 203 + 2 + 400 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24651817489 + ... + 24651831455.

It is an arithmetic number, because the mean of its divisors is an integer number (3300975898308).

Almost surely, 2^{344312032400424} 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 344312032400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528156143729280).

344312032400424 is an abundant number, since it is smaller than the sum of its proper divisors (712000255058136).

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

344312032400424 is a wasteful number, since it uses less digits than its factorization.

344312032400424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27710 (or 27697 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 344312032400424 its reverse (424004230213443), we get a palindrome (768316262613867).

The spelling of 344312032400424 in words is "three hundred forty-four trillion, three hundred twelve billion, thirty-two million, four hundred thousand, four hundred twenty-four".