33982368 has 96 divisors (see below), whose sum is σ = 103743360. Its totient is φ = 9538560.

The previous prime is 33982349. The next prime is 33982409. The reversal of 33982368 is 86328933.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40578 + ... + 41406.

It is an arithmetic number, because the mean of its divisors is an integer number (1080660).

Almost surely, 2^33982368 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 33982368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51871680).

33982368 is an abundant number, since it is smaller than the sum of its proper divisors (69760992).

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

33982368 is a wasteful number, since it uses less digits than its factorization.

33982368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 33982368 is about 5829.4397672504. The cubic root of 33982368 is about 323.9051696256.

The spelling of 33982368 in words is "thirty-three million, nine hundred eighty-two thousand, three hundred sixty-eight".