342385984 has 28 divisors (see below), whose sum is σ = 719390484. Its totient is φ = 161122304.

The previous prime is 342385973. The next prime is 342385991. The reversal of 342385984 is 489583243.

342385984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 172344384 + 170041600 = 13128^2 + 13040^2 .

It is a super-3 number, since 3×342385984³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156259 + ... + 158434.

Almost surely, 2^342385984 is an apocalyptic number.

342385984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

342385984 is an abundant number, since it is smaller than the sum of its proper divisors (377004500).

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

342385984 is a wasteful number, since it uses less digits than its factorization.

342385984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314722 (or 314712 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The square root of 342385984 is about 18503.6748782505. The cubic root of 342385984 is about 699.5820525475.

The spelling of 342385984 in words is "three hundred forty-two million, three hundred eighty-five thousand, nine hundred eighty-four".