342132480 has 216 divisors, whose sum is σ = 1254092112. Its totient is φ = 85819392.

The previous prime is 342132443. The next prime is 342132481. The reversal of 342132480 is 84231243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342132481) 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, 194967 + ... + 196713.

It is an arithmetic number, because the mean of its divisors is an integer number (5805982).

Almost surely, 2^342132480 is an apocalyptic number.

342132480 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 342132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627046056).

342132480 is an abundant number, since it is smaller than the sum of its proper divisors (911959632).

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

342132480 is a wasteful number, since it uses less digits than its factorization.

342132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1774 counting only the distinct ones).

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

The square root of 342132480 is about 18496.8235110789. The cubic root of 342132480 is about 699.4093521018.

The spelling of 342132480 in words is "three hundred forty-two million, one hundred thirty-two thousand, four hundred eighty".