342339540480 has 400 divisors, whose sum is σ = 1401322586400. Its totient is φ = 78248706048.

The previous prime is 342339540479. The next prime is 342339540497. The reversal of 342339540480 is 84045933243.

342339540480 is a `hidden beast` number, since 3 + 4 + 23 + 3 + 9 + 540 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1333596 + ... + 1569444.

It is an arithmetic number, because the mean of its divisors is an integer number (3503306466).

Almost surely, 2^342339540480 is an apocalyptic number.

342339540480 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 342339540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700661293200).

342339540480 is an abundant number, since it is smaller than the sum of its proper divisors (1058983045920).

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

342339540480 is an equidigital number, since it uses as much as digits as its factorization.

342339540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235891 (or 235866 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 342339540480 in words is "three hundred forty-two billion, three hundred thirty-nine million, five hundred forty thousand, four hundred eighty".