34482417984 has 840 divisors, whose sum is σ = 127814100480. Its totient is φ = 9144576000.

The previous prime is 34482417967. The next prime is 34482418007. The reversal of 34482417984 is 48971428443.

34482417984 is a `hidden beast` number, since 3 + 448 + 24 + 179 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34482417984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 228360309 + ... + 228360459.

Almost surely, 2^34482417984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34482417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63907050240).

34482417984 is an abundant number, since it is smaller than the sum of its proper divisors (93331682496).

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

34482417984 is a wasteful number, since it uses less digits than its factorization.

34482417984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 223 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 34482417984 in words is "thirty-four billion, four hundred eighty-two million, four hundred seventeen thousand, nine hundred eighty-four".