33988740 has 48 divisors (see below), whose sum is σ = 95522112. Its totient is φ = 9030016.

The previous prime is 33988711. The next prime is 33988753. The reversal of 33988740 is 4788933.

It is a junction number, because it is equal to n+sod(n) for n = 33988692 and 33988701.

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 15 ways as a sum of consecutive naturals, for example, 18127 + ... + 19913.

It is an arithmetic number, because the mean of its divisors is an integer number (1990044).

Almost surely, 2^33988740 is an apocalyptic number.

33988740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33988740 is an abundant number, since it is smaller than the sum of its proper divisors (61533372).

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

33988740 is a wasteful number, since it uses less digits than its factorization.

33988740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 33988740 is about 5829.9862778569. The cubic root of 33988740 is about 323.9254134057.

The spelling of 33988740 in words is "thirty-three million, nine hundred eighty-eight thousand, seven hundred forty".