33963138 has 48 divisors (see below), whose sum is σ = 83262816. Its totient is φ = 10290240.

The previous prime is 33963119. The next prime is 33963143. The reversal of 33963138 is 83136933.

33963138 is a `hidden beast` number, since 339 + 6 + 313 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2170 + ... + 8522.

It is an arithmetic number, because the mean of its divisors is an integer number (1734642).

Almost surely, 2^33963138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33963138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41631408).

33963138 is an abundant number, since it is smaller than the sum of its proper divisors (49299678).

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

33963138 is a wasteful number, since it uses less digits than its factorization.

33963138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6381 (or 6369 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 33963138 is about 5827.7901472170. The cubic root of 33963138 is about 323.8440607619.

The spelling of 33963138 in words is "thirty-three million, nine hundred sixty-three thousand, one hundred thirty-eight".