33003988900 has 81 divisors (see below), whose sum is σ = 73756826787. Its totient is φ = 12818635200.

The previous prime is 33003988889. The next prime is 33003988903. The reversal of 33003988900 is 988930033.

The square root of 33003988900 is 181670.

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 3133088676 + 29870900224 = 55974^2 + 172832^2 .

It is a super-2 number, since 2×33003988900² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33003988903) 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, 67217655 + ... + 67218145.

Almost surely, 2^33003988900 is an apocalyptic number.

33003988900 is the 181670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33003988900

33003988900 is an abundant number, since it is smaller than the sum of its proper divisors (40752837887).

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

33003988900 is an equidigital number, since it uses as much as digits as its factorization.

33003988900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 33003988900 in words is "thirty-three billion, three million, nine hundred eighty-eight thousand, nine hundred".