342766080 has 480 divisors, whose sum is σ = 1340539200. Its totient is φ = 83607552.

The previous prime is 342766043. The next prime is 342766093. The reversal of 342766080 is 80667243.

342766080 is a `hidden beast` number, since 3 + 42 + 7 + 6 + 608 + 0 = 666.

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

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

It is a congruent number.

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, 11819506 + ... + 11819534.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2^342766080 is an apocalyptic number.

342766080 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 342766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670269600).

342766080 is an abundant number, since it is smaller than the sum of its proper divisors (997773120).

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

342766080 is an equidigital number, since it uses as much as digits as its factorization.

342766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 342766080 is about 18513.9428539682. The cubic root of 342766080 is about 699.8408345601.

The spelling of 342766080 in words is "three hundred forty-two million, seven hundred sixty-six thousand, eighty".