34288435860 has 192 divisors, whose sum is σ = 111978381312. Its totient is φ = 7676757504.

The previous prime is 34288435849. The next prime is 34288435891. The reversal of 34288435860 is 6853488243.

It is a congruent number.

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, 21880797 + ... + 21882363.

It is an arithmetic number, because the mean of its divisors is an integer number (583220736).

Almost surely, 2^34288435860 is an apocalyptic number.

34288435860 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 34288435860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55989190656).

34288435860 is an abundant number, since it is smaller than the sum of its proper divisors (77689945452).

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

34288435860 is a wasteful number, since it uses less digits than its factorization.

34288435860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 34288435860 in words is "thirty-four billion, two hundred eighty-eight million, four hundred thirty-five thousand, eight hundred sixty".