342364486942296 has 3072 divisors, whose sum is σ = 1316064618086400. Its totient is φ = 80909118259200.

The previous prime is 342364486942277. The next prime is 342364486942297. The reversal of 342364486942296 is 692249684463243.

342364486942296 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 6 + 448 + 6 + 94 + 2 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 (342364486942297) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1235972876910 + ... + 1235972877186.

It is an arithmetic number, because the mean of its divisors is an integer number (428406451200).

Almost surely, 2^{342364486942296} is an apocalyptic number.

342364486942296 is a gapful number since it is divisible by the number (36) 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 342364486942296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658032309043200).

342364486942296 is an abundant number, since it is smaller than the sum of its proper divisors (973700131144104).

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

342364486942296 is a wasteful number, since it uses less digits than its factorization.

342364486942296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its digits is 2579890176, while the sum is 72.

The spelling of 342364486942296 in words is "three hundred forty-two trillion, three hundred sixty-four billion, four hundred eighty-six million, nine hundred forty-two thousand, two hundred ninety-six".