342474044544 has 576 divisors, whose sum is σ = 1121592326400. Its totient is φ = 103892336640.

The previous prime is 342474044543. The next prime is 342474044551. The reversal of 342474044544 is 445440474243.

342474044544 is a `hidden beast` number, since 3 + 4 + 24 + 7 + 40 + 44 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 342474044544.

It is not an unprimeable number, because it can be changed into a prime (342474044543) 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, 278660122 + ... + 278661350.

It is an arithmetic number, because the mean of its divisors is an integer number (1947208900).

Almost surely, 2^342474044544 is an apocalyptic number.

342474044544 is a gapful number since it is divisible by the number (34) 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 342474044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560796163200).

342474044544 is an abundant number, since it is smaller than the sum of its proper divisors (779118281856).

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

342474044544 is a wasteful number, since it uses less digits than its factorization.

342474044544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 45.

The spelling of 342474044544 in words is "three hundred forty-two billion, four hundred seventy-four million, forty-four thousand, five hundred forty-four".