33338640 has 80 divisors (see below), whose sum is σ = 106707456. Its totient is φ = 8601600.

The previous prime is 33338629. The next prime is 33338659. The reversal of 33338640 is 4683333.

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

It is a super-2 number, since 2×33338640² = 2222929834099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33338598 and 33338607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5200 + ... + 9680.

Almost surely, 2^33338640 is an apocalyptic number.

33338640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33338640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53353728).

33338640 is an abundant number, since it is smaller than the sum of its proper divisors (73368816).

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

33338640 is a wasteful number, since it uses less digits than its factorization.

33338640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 33338640 is about 5773.9622444211. The cubic root of 33338640 is about 321.8468723968.

The spelling of 33338640 in words is "thirty-three million, three hundred thirty-eight thousand, six hundred forty".