33873230832 has 160 divisors (see below), whose sum is σ = 101010201600. Its totient is φ = 9581414400.

The previous prime is 33873230821. The next prime is 33873230869. The reversal of 33873230832 is 23803237833.

It is a happy number.

It is a super-2 number, since 2×33873230832² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17705908 + ... + 17707820.

It is an arithmetic number, because the mean of its divisors is an integer number (631313760).

Almost surely, 2^33873230832 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 33873230832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50505100800).

33873230832 is an abundant number, since it is smaller than the sum of its proper divisors (67136970768).

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

33873230832 is a wasteful number, since it uses less digits than its factorization.

33873230832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 33873230832 in words is "thirty-three billion, eight hundred seventy-three million, two hundred thirty thousand, eight hundred thirty-two".