33870816 has 144 divisors (see below), whose sum is σ = 112510944. Its totient is φ = 9464832.

The previous prime is 33870761. The next prime is 33870821. The reversal of 33870816 is 61807833.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33870816² = 2294464353011712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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, 106690 + ... + 107006.

It is an arithmetic number, because the mean of its divisors is an integer number (781326).

Almost surely, 2^33870816 is an apocalyptic number.

33870816 is a gapful number since it is divisible by the number (36) 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 33870816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56255472).

33870816 is an abundant number, since it is smaller than the sum of its proper divisors (78640128).

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

33870816 is a wasteful number, since it uses less digits than its factorization.

33870816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 33870816 is about 5819.8639159348. The cubic root of 33870816 is about 323.5503593684.

It can be divided in two parts, 338708 and 16, that added together give a square (338724 = 582²).

The spelling of 33870816 in words is "thirty-three million, eight hundred seventy thousand, eight hundred sixteen".