33864480 has 288 divisors, whose sum is σ = 130987584. Its totient is φ = 8211456.

The previous prime is 33864469. The next prime is 33864499. The reversal of 33864480 is 8446833.

33864480 is a `hidden beast` number, since 3 + 3 + 8 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×33864480² = 2293606011340800, 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 47 ways as a sum of consecutive naturals, for example, 505407 + ... + 505473.

It is an arithmetic number, because the mean of its divisors is an integer number (454818).

Almost surely, 2^33864480 is an apocalyptic number.

33864480 is a gapful number since it is divisible by the number (30) 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 33864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65493792).

33864480 is an abundant number, since it is smaller than the sum of its proper divisors (97123104).

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

33864480 is a wasteful number, since it uses less digits than its factorization.

33864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 33864480 is about 5819.3195478509. The cubic root of 33864480 is about 323.5301832683.

It can be divided in two parts, 338644 and 80, that added together give a square (338724 = 582²).

The spelling of 33864480 in words is "thirty-three million, eight hundred sixty-four thousand, four hundred eighty".