32834821824 has 224 divisors, whose sum is σ = 111717734400. Its totient is φ = 9262356480.

The previous prime is 32834821813. The next prime is 32834821841. The reversal of 32834821824 is 42812843823.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 32834821824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938404 + ... + 972764.

Almost surely, 2^32834821824 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 32834821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55858867200).

32834821824 is an abundant number, since it is smaller than the sum of its proper divisors (78882912576).

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

32834821824 is a wasteful number, since it uses less digits than its factorization.

32834821824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34468 (or 34452 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 32834821824 in words is "thirty-two billion, eight hundred thirty-four million, eight hundred twenty-one thousand, eight hundred twenty-four".