342389376 has 128 divisors (see below), whose sum is σ = 1154966400. Its totient is φ = 97818624.

The previous prime is 342389371. The next prime is 342389419. The reversal of 342389376 is 673983243.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (342389371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17116 + ... + 31268.

It is an arithmetic number, because the mean of its divisors is an integer number (9023175).

Almost surely, 2^342389376 is an apocalyptic number.

342389376 is a gapful number since it is divisible by the number (36) 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 342389376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577483200).

342389376 is an abundant number, since it is smaller than the sum of its proper divisors (812577024).

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

342389376 is a wasteful number, since it uses less digits than its factorization.

342389376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14183 (or 14165 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 342389376 is about 18503.7665354922. The cubic root of 342389376 is about 699.5843627808.

The spelling of 342389376 in words is "three hundred forty-two million, three hundred eighty-nine thousand, three hundred seventy-six".