33820348125 has 40 divisors (see below), whose sum is σ = 57548278656. Its totient is φ = 17653696000.

The previous prime is 33820348109. The next prime is 33820348127. The reversal of 33820348125 is 52184302833.

It is not a de Polignac number, because 33820348125 - 2⁴ = 33820348109 is a prime.

It is a super-2 number, since 2×33820348125² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33820348127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103764 + ... + 280013.

Almost surely, 2^33820348125 is an apocalyptic number.

It is an amenable number.

33820348125 is a deficient number, since it is larger than the sum of its proper divisors (23727930531).

33820348125 is an equidigital number, since it uses as much as digits as its factorization.

33820348125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383847 (or 383832 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 33820348125 in words is "thirty-three billion, eight hundred twenty million, three hundred forty-eight thousand, one hundred twenty-five".