33906048 has 128 divisors (see below), whose sum is σ = 102816000. Its totient is φ = 9799680.

The previous prime is 33906043. The next prime is 33906083. The reversal of 33906048 is 84060933.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33906048² = 2299240181956608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33906043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96978 + ... + 97326.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 2^33906048 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 33906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

33906048 is an abundant number, since it is smaller than the sum of its proper divisors (68909952).

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

33906048 is a wasteful number, since it uses less digits than its factorization.

33906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 33906048 is about 5822.8900041131. The cubic root of 33906048 is about 323.6625048416.

The spelling of 33906048 in words is "thirty-three million, nine hundred six thousand, forty-eight".