342431241984 has 576 divisors, whose sum is σ = 1130208378880. Its totient is φ = 101583175680.

The previous prime is 342431241983. The next prime is 342431241991. The reversal of 342431241984 is 489142134243.

342431241984 is a `hidden beast` number, since 3 + 4 + 2 + 431 + 24 + 198 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342431241983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422232939 + ... + 422233749.

Almost surely, 2^342431241984 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 342431241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565104189440).

342431241984 is an abundant number, since it is smaller than the sum of its proper divisors (787777136896).

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

342431241984 is a wasteful number, since it uses less digits than its factorization.

342431241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 993 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 342431241984 in words is "three hundred forty-two billion, four hundred thirty-one million, two hundred forty-one thousand, nine hundred eighty-four".