33820675404 has 48 divisors (see below), whose sum is σ = 82504396800. Its totient is φ = 10762660480.

The previous prime is 33820675387. The next prime is 33820675439. The reversal of 33820675404 is 40457602833.

It is a super-2 number, since 2×33820675404² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26197 + ... + 261395.

It is an arithmetic number, because the mean of its divisors is an integer number (1718841600).

Almost surely, 2^33820675404 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 33820675404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41252198400).

33820675404 is an abundant number, since it is smaller than the sum of its proper divisors (48683721396).

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

33820675404 is a wasteful number, since it uses less digits than its factorization.

33820675404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235750 (or 235748 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 33820675404 in words is "thirty-three billion, eight hundred twenty million, six hundred seventy-five thousand, four hundred four".