342330350937120 has 768 divisors, whose sum is σ = 1475316819809280. Its totient is φ = 72195468853248.

The previous prime is 342330350936971. The next prime is 342330350937193. The reversal of 342330350937120 is 21739053033243.

342330350937120 is a `hidden beast` number, since 3 + 4 + 23 + 30 + 3 + 509 + 3 + 71 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 879214804 + ... + 879604076.

It is an arithmetic number, because the mean of its divisors is an integer number (1920985442460).

Almost surely, 2^{342330350937120} is an apocalyptic number.

342330350937120 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 342330350937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737658409904640).

342330350937120 is an abundant number, since it is smaller than the sum of its proper divisors (1132986468872160).

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

342330350937120 is a wasteful number, since it uses less digits than its factorization.

342330350937120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391554 (or 391540 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 342330350937120 in words is "three hundred forty-two trillion, three hundred thirty billion, three hundred fifty million, nine hundred thirty-seven thousand, one hundred twenty".