33909840 has 100 divisors (see below), whose sum is σ = 117796404. Its totient is φ = 9040896.

The previous prime is 33909833. The next prime is 33909853. The reversal of 33909840 is 4890933.

It can be written as a sum of positive squares in 2 ways, for example, as 24324624 + 9585216 = 4932^2 + 3096^2 .

It is a super-2 number, since 2×33909840² = 2299754497651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33909795 and 33909804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3864 + ... + 9096.

Almost surely, 2^33909840 is an apocalyptic number.

33909840 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 33909840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58898202).

33909840 is an abundant number, since it is smaller than the sum of its proper divisors (83886564).

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

33909840 is a wasteful number, since it uses less digits than its factorization.

33909840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 33909840 is about 5823.2156065184. The cubic root of 33909840 is about 323.6745703632.

The spelling of 33909840 in words is "thirty-three million, nine hundred nine thousand, eight hundred forty".