34142083080 has 256 divisors, whose sum is σ = 120088742400. Its totient is φ = 7604305920.

The previous prime is 34142083069. The next prime is 34142083099. The reversal of 34142083080 is 8038024143.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5582104 + ... + 5588216.

It is an arithmetic number, because the mean of its divisors is an integer number (469096650).

Almost surely, 2^34142083080 is an apocalyptic number.

34142083080 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 34142083080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60044371200).

34142083080 is an abundant number, since it is smaller than the sum of its proper divisors (85946659320).

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

34142083080 is a wasteful number, since it uses less digits than its factorization.

34142083080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 34142083080 in words is "thirty-four billion, one hundred forty-two million, eighty-three thousand, eighty".