342449269344 has 768 divisors, whose sum is σ = 1281595392000. Its totient is φ = 86533816320.

The previous prime is 342449269333. The next prime is 342449269361. The reversal of 342449269344 is 443962944243.

342449269344 is a `hidden beast` number, since 3 + 4 + 24 + 492 + 6 + 93 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 265669852 + ... + 265671140.

It is an arithmetic number, because the mean of its divisors is an integer number (1668744000).

Almost surely, 2^342449269344 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 342449269344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640797696000).

342449269344 is an abundant number, since it is smaller than the sum of its proper divisors (939146122656).

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

342449269344 is a wasteful number, since it uses less digits than its factorization.

342449269344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1454 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 342449269344 in words is "three hundred forty-two billion, four hundred forty-nine million, two hundred sixty-nine thousand, three hundred forty-four".