34217971830 has 256 divisors, whose sum is σ = 107226685440. Its totient is φ = 7603255296.

The previous prime is 34217971789. The next prime is 34217971847. The reversal of 34217971830 is 3817971243.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11317699 + ... + 11320721.

It is an arithmetic number, because the mean of its divisors is an integer number (418854240).

Almost surely, 2^34217971830 is an apocalyptic number.

34217971830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34217971830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53613342720).

34217971830 is an abundant number, since it is smaller than the sum of its proper divisors (73008713610).

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

34217971830 is a wasteful number, since it uses less digits than its factorization.

34217971830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 34217971830 in words is "thirty-four billion, two hundred seventeen million, nine hundred seventy-one thousand, eight hundred thirty".