33395920 has 80 divisors (see below), whose sum is σ = 82851840. Its totient is φ = 12483072.

The previous prime is 33395917. The next prime is 33395933. The reversal of 33395920 is 2959333.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33395920² = 2230574945292800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192954 + ... + 193126.

It is an arithmetic number, because the mean of its divisors is an integer number (1035648).

Almost surely, 2^33395920 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 33395920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41425920).

33395920 is an abundant number, since it is smaller than the sum of its proper divisors (49455920).

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

33395920 is a wasteful number, since it uses less digits than its factorization.

33395920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 34.

The square root of 33395920 is about 5778.9203143840. The cubic root of 33395920 is about 322.0310914772.

The spelling of 33395920 in words is "thirty-three million, three hundred ninety-five thousand, nine hundred twenty".