33795972 has 72 divisors (see below), whose sum is σ = 100044672. Its totient is φ = 9417600.

The previous prime is 33795953. The next prime is 33795989. The reversal of 33795972 is 27959733.

It is a super-2 number, since 2×33795972² = 2284335446849568, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8697 + ... + 11967.

Almost surely, 2^33795972 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 33795972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50022336).

33795972 is an abundant number, since it is smaller than the sum of its proper divisors (66248700).

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

33795972 is a wasteful number, since it uses less digits than its factorization.

33795972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3324 counting only the distinct ones).

The product of its digits is 357210, while the sum is 45.

The square root of 33795972 is about 5813.4303126467. The cubic root of 33795972 is about 323.3118682979.

The spelling of 33795972 in words is "thirty-three million, seven hundred ninety-five thousand, nine hundred seventy-two".