34099842840 has 384 divisors, whose sum is σ = 121746965760. Its totient is φ = 7616695296.

The previous prime is 34099842839. The next prime is 34099842851. The reversal of 34099842840 is 4824899043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52219954 + ... + 52220606.

It is an arithmetic number, because the mean of its divisors is an integer number (317049390).

Almost surely, 2^34099842840 is an apocalyptic number.

34099842840 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 34099842840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60873482880).

34099842840 is an abundant number, since it is smaller than the sum of its proper divisors (87647122920).

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

34099842840 is a wasteful number, since it uses less digits than its factorization.

34099842840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 34099842840 in words is "thirty-four billion, ninety-nine million, eight hundred forty-two thousand, eight hundred forty".