33873435312 has 80 divisors (see below), whose sum is σ = 88449124608. Its totient is φ = 11169734400.

The previous prime is 33873435293. The next prime is 33873435329. The reversal of 33873435312 is 21353437833.

It is a super-2 number, since 2×33873435312² (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5549062 + ... + 5555162.

Almost surely, 2^33873435312 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 33873435312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44224562304).

33873435312 is an abundant number, since it is smaller than the sum of its proper divisors (54575689296).

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

33873435312 is a wasteful number, since it uses less digits than its factorization.

33873435312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7332 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The spelling of 33873435312 in words is "thirty-three billion, eight hundred seventy-three million, four hundred thirty-five thousand, three hundred twelve".