33964938 has 72 divisors (see below), whose sum is σ = 86705892. Its totient is φ = 9580032.

The previous prime is 33964937. The next prime is 33964949. The reversal of 33964938 is 83946933.

It can be written as a sum of positive squares in 2 ways, for example, as 33837489 + 127449 = 5817^2 + 357^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33964893 and 33964902.

It is not an unprimeable number, because it can be changed into a prime (33964937) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85356 + ... + 85752.

Almost surely, 2^33964938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33964938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43352946).

33964938 is an abundant number, since it is smaller than the sum of its proper divisors (52740954).

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

33964938 is a wasteful number, since it uses less digits than its factorization.

33964938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 33964938 is about 5827.9445776363. The cubic root of 33964938 is about 323.8497817587.

The spelling of 33964938 in words is "thirty-three million, nine hundred sixty-four thousand, nine hundred thirty-eight".