342313482240 has 384 divisors, whose sum is σ = 1269746150400. Its totient is φ = 87313121280.

The previous prime is 342313482239. The next prime is 342313482319. The reversal of 342313482240 is 42284313243.

342313482240 is a `hidden beast` number, since 3 + 42 + 31 + 348 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342313482195 and 342313482204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6332125 + ... + 6385955.

It is an arithmetic number, because the mean of its divisors is an integer number (3306630600).

Almost surely, 2^342313482240 is an apocalyptic number.

342313482240 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 342313482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634873075200).

342313482240 is an abundant number, since it is smaller than the sum of its proper divisors (927432668160).

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

342313482240 is a wasteful number, since it uses less digits than its factorization.

342313482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53890 (or 53864 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 342313482240 its reverse (42284313243), we get a palindrome (384597795483).

The spelling of 342313482240 in words is "three hundred forty-two billion, three hundred thirteen million, four hundred eighty-two thousand, two hundred forty".