33875616 has 48 divisors (see below), whose sum is σ = 89498304. Its totient is φ = 11218944.

The previous prime is 33875593. The next prime is 33875623. The reversal of 33875616 is 61657833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33875616² = 2295114718758912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14976 + ... + 17088.

It is an arithmetic number, because the mean of its divisors is an integer number (1864548).

Almost surely, 2^33875616 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 33875616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44749152).

33875616 is an abundant number, since it is smaller than the sum of its proper divisors (55622688).

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

33875616 is a wasteful number, since it uses less digits than its factorization.

33875616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2285 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 33875616 is about 5820.2762821021. The cubic root of 33875616 is about 323.5656426176.

The spelling of 33875616 in words is "thirty-three million, eight hundred seventy-five thousand, six hundred sixteen".