342277678080 has 704 divisors, whose sum is σ = 1316543934720. Its totient is φ = 83830505472.

The previous prime is 342277678079. The next prime is 342277678133. The reversal of 342277678080 is 80876772243.

342277678080 is a `hidden beast` number, since 3 + 422 + 7 + 7 + 67 + 80 + 80 = 666.

It is a super-2 number, since 2×342277678080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 508584624 + ... + 508585296.

Almost surely, 2^342277678080 is an apocalyptic number.

342277678080 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 342277678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658271967360).

342277678080 is an abundant number, since it is smaller than the sum of its proper divisors (974266256640).

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

342277678080 is a wasteful number, since it uses less digits than its factorization.

342277678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 342277678080 in words is "three hundred forty-two billion, two hundred seventy-seven million, six hundred seventy-eight thousand, eighty".