33994752 has 96 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 10280960.

The previous prime is 33994733. The next prime is 33994777. The reversal of 33994752 is 25749933.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67333 + ... + 67835.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^33994752 is an apocalyptic number.

33994752 is a gapful number since it is divisible by the number (32) 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 33994752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

33994752 is an abundant number, since it is smaller than the sum of its proper divisors (65071488).

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

33994752 is a wasteful number, since it uses less digits than its factorization.

33994752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 33994752 is about 5830.5018651914. The cubic root of 33994752 is about 323.9445111498.

The spelling of 33994752 in words is "thirty-three million, nine hundred ninety-four thousand, seven hundred fifty-two".