342381312 has 432 divisors, whose sum is σ = 1285659648. Its totient is φ = 85155840.

The previous prime is 342381301. The next prime is 342381331. The reversal of 342381312 is 213183243.

342381312 is a `hidden beast` number, since 342 + 3 + 8 + 1 + 312 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4822237 + ... + 4822307.

It is an arithmetic number, because the mean of its divisors is an integer number (2976064).

Almost surely, 2^342381312 is an apocalyptic number.

342381312 is a gapful number since it is divisible by the number (32) 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 342381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642829824).

342381312 is an abundant number, since it is smaller than the sum of its proper divisors (943278336).

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

342381312 is a wasteful number, since it uses less digits than its factorization.

342381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 342381312 is about 18503.5486326272. The cubic root of 342381312 is about 699.5788705031.

The spelling of 342381312 in words is "three hundred forty-two million, three hundred eighty-one thousand, three hundred twelve".