33940736 has 36 divisors (see below), whose sum is σ = 68193972. Its totient is φ = 16859136.

The previous prime is 33940703. The next prime is 33940741. The reversal of 33940736 is 63704933.

It can be written as a sum of positive squares in 2 ways, for example, as 24601600 + 9339136 = 4960^2 + 3056^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33940696 and 33940705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50096 + ... + 50768.

It is an arithmetic number, because the mean of its divisors is an integer number (1894277).

Almost surely, 2^33940736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34096986).

33940736 is an abundant number, since it is smaller than the sum of its proper divisors (34253236).

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

33940736 is an equidigital number, since it uses as much as digits as its factorization.

33940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 35.

The square root of 33940736 is about 5825.8678323491. The cubic root of 33940736 is about 323.7728428598.

The spelling of 33940736 in words is "thirty-three million, nine hundred forty thousand, seven hundred thirty-six".