342001200384 has 216 divisors, whose sum is σ = 1052882550720. Its totient is φ = 106507247616.

The previous prime is 342001200383. The next prime is 342001200421. The reversal of 342001200384 is 483002100243.

342001200384 is a `hidden beast` number, since 3 + 420 + 0 + 1 + 200 + 38 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342001200383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2203612 + ... + 2353700.

Almost surely, 2^342001200384 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 342001200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526441275360).

342001200384 is an abundant number, since it is smaller than the sum of its proper divisors (710881350336).

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

342001200384 is a wasteful number, since it uses less digits than its factorization.

342001200384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150177 (or 150160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 342001200384 in words is "three hundred forty-two billion, one million, two hundred thousand, three hundred eighty-four".