342336180480 has 288 divisors, whose sum is σ = 1303856676864. Its totient is φ = 74846035968.

The previous prime is 342336180479. The next prime is 342336180481. The reversal of 342336180480 is 84081633243.

It is an interprime number because it is at equal distance from previous prime (342336180479) and next prime (342336180481).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (342336180481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341377 + ... + 895103.

It is an arithmetic number, because the mean of its divisors is an integer number (4527280128).

Almost surely, 2^342336180480 is an apocalyptic number.

342336180480 is a gapful number since it is divisible by the number (30) 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 342336180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651928338432).

342336180480 is an abundant number, since it is smaller than the sum of its proper divisors (961520496384).

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

342336180480 is a wasteful number, since it uses less digits than its factorization.

342336180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553781 (or 553767 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 342336180480 in words is "three hundred forty-two billion, three hundred thirty-six million, one hundred eighty thousand, four hundred eighty".