342670450304 has 384 divisors, whose sum is σ = 911382872400. Its totient is φ = 126761435136.

The previous prime is 342670450289. The next prime is 342670450333. The reversal of 342670450304 is 403054076243.

It can be written as a sum of positive squares in 8 ways, for example, as 147794113600 + 194876336704 = 384440^2 + 441448^2 .

It is a super-2 number, since 2×342670450304² (a number of 24 digits) contains 22 as substring.

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, 239796662 + ... + 239798090.

Almost surely, 2^342670450304 is an apocalyptic number.

342670450304 is a gapful number since it is divisible by the number (34) 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 342670450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455691436200).

342670450304 is an abundant number, since it is smaller than the sum of its proper divisors (568712422096).

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

342670450304 is a wasteful number, since it uses less digits than its factorization.

342670450304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 38.

The spelling of 342670450304 in words is "three hundred forty-two billion, six hundred seventy million, four hundred fifty thousand, three hundred four".