33969872 has 40 divisors (see below), whose sum is σ = 69891360. Its totient is φ = 15949440.

The previous prime is 33969851. The next prime is 33969877. The reversal of 33969872 is 27896933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33969877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39398 + ... + 40250.

It is an arithmetic number, because the mean of its divisors is an integer number (1747284).

Almost surely, 2^33969872 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 33969872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34945680).

33969872 is an abundant number, since it is smaller than the sum of its proper divisors (35921488).

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

33969872 is a wasteful number, since it uses less digits than its factorization.

33969872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1005 counting only the distinct ones).

The product of its digits is 489888, while the sum is 47.

The square root of 33969872 is about 5828.3678675938. The cubic root of 33969872 is about 323.8654626103.

The spelling of 33969872 in words is "thirty-three million, nine hundred sixty-nine thousand, eight hundred seventy-two".