3282803424 has 96 divisors (see below), whose sum is σ = 9737280000. Its totient is φ = 1075704192.

The previous prime is 3282803417. The next prime is 3282803437. The reversal of 3282803424 is 4243082823.

It is a happy number.

3282803424 is a `hidden beast` number, since 32 + 8 + 280 + 342 + 4 = 666.

3282803424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3282803424² = 21553596641252247552, 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 15 ways as a sum of consecutive naturals, for example, 18777 + ... + 83175.

It is an arithmetic number, because the mean of its divisors is an integer number (101430000).

Almost surely, 2^3282803424 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 3282803424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868640000).

3282803424 is an abundant number, since it is smaller than the sum of its proper divisors (6454476576).

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

3282803424 is a wasteful number, since it uses less digits than its factorization.

3282803424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64477 (or 64463 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3282803424 is about 57295.7539788072. The cubic root of 3282803424 is about 1486.2149510298.

The spelling of 3282803424 in words is "three billion, two hundred eighty-two million, eight hundred three thousand, four hundred twenty-four".