33652890 has 48 divisors (see below), whose sum is σ = 87984000. Its totient is φ = 8924256.

The previous prime is 33652867. The next prime is 33652901. The reversal of 33652890 is 9825633.

It is a super-2 number, since 2×33652890² = 2265034010704200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16971 + ... + 18849.

It is an arithmetic number, because the mean of its divisors is an integer number (1833000).

Almost surely, 2^33652890 is an apocalyptic number.

33652890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33652890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43992000).

33652890 is an abundant number, since it is smaller than the sum of its proper divisors (54331110).

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

33652890 is a wasteful number, since it uses less digits than its factorization.

33652890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 33652890 is about 5801.1111004703. Note that the first 4 decimals coincide. The cubic root of 33652890 is about 322.8549544135.

The spelling of 33652890 in words is "thirty-three million, six hundred fifty-two thousand, eight hundred ninety".