33988900 has 81 divisors (see below), whose sum is σ = 82629043. Its totient is φ = 12126400.

The previous prime is 33988859. The next prime is 33988901. The reversal of 33988900 is 988933.

The square root of 33988900 is 5830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 256036 + 33732864 = 506^2 + 5808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33988901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 641274 + ... + 641326.

Almost surely, 2^33988900 is an apocalyptic number.

33988900 is the 5830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33988900

33988900 is an abundant number, since it is smaller than the sum of its proper divisors (48640143).

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

33988900 is a wasteful number, since it uses less digits than its factorization.

33988900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The cubic root of 33988900 is about 323.9259216915.

Adding to 33988900 its product of nonzero digits (46656), we get a square (34035556 = 5834²).

Multiplying 33988900 by its product of nonzero digits (46656), we get a square (1585786118400 = 1259280²).

The spelling of 33988900 in words is "thirty-three million, nine hundred eighty-eight thousand, nine hundred".