33822125676 has 72 divisors (see below), whose sum is σ = 87347529360. Its totient is φ = 11032344576.

The previous prime is 33822125647. The next prime is 33822125681. The reversal of 33822125676 is 67652122833.

33822125676 is a `hidden beast` number, since 3 + 3 + 82 + 2 + 1 + 2 + 567 + 6 = 666.

It is a super-2 number, since 2×33822125676² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256375 + ... + 365201.

It is an arithmetic number, because the mean of its divisors is an integer number (1213160130).

Almost surely, 2^33822125676 is an apocalyptic number.

33822125676 is a gapful number since it is divisible by the number (36) 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 33822125676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43673764680).

33822125676 is an abundant number, since it is smaller than the sum of its proper divisors (53525403684).

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

33822125676 is a wasteful number, since it uses less digits than its factorization.

33822125676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109023 (or 109018 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 33822125676 in words is "thirty-three billion, eight hundred twenty-two million, one hundred twenty-five thousand, six hundred seventy-six".