342479208960 has 480 divisors, whose sum is σ = 1384416963072. Its totient is φ = 76613713920.

The previous prime is 342479208931. The next prime is 342479209031. The reversal of 342479208960 is 69802974243.

342479208960 is a `hidden beast` number, since 3 + 424 + 7 + 9 + 208 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 342479208897 and 342479208906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7557570 + ... + 7602750.

Almost surely, 2^342479208960 is an apocalyptic number.

342479208960 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 342479208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692208481536).

342479208960 is an abundant number, since it is smaller than the sum of its proper divisors (1041937754112).

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

342479208960 is a wasteful number, since it uses less digits than its factorization.

342479208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45264 (or 45245 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 342479208960 in words is "three hundred forty-two billion, four hundred seventy-nine million, two hundred eight thousand, nine hundred sixty".