33875138704 has 135 divisors (see below), whose sum is σ = 74547249721. Its totient is φ = 14900849920.

The previous prime is 33875138669. The next prime is 33875138707. The reversal of 33875138704 is 40783157833.

The square root of 33875138704 is 184052.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6504745104 + 27370393600 = 80652^2 + 165440^2 .

It is a super-2 number, since 2×33875138704² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33875138707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 380619492 + ... + 380619580.

Almost surely, 2^33875138704 is an apocalyptic number.

33875138704 is the 184052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33875138704

33875138704 is an abundant number, since it is smaller than the sum of its proper divisors (40672111017).

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

33875138704 is an equidigital number, since it uses as much as digits as its factorization.

33875138704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

Multiplying 33875138704 by its sum of digits (49), we get a square (1659881796496 = 1288364²).

The spelling of 33875138704 in words is "thirty-three billion, eight hundred seventy-five million, one hundred thirty-eight thousand, seven hundred four".