3283735424 has 64 divisors (see below), whose sum is σ = 6798708000. Its totient is φ = 1577920512.

The previous prime is 3283735423. The next prime is 3283735451. The reversal of 3283735424 is 4245373823.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283735423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848117 + ... + 851979.

Almost surely, 2^3283735424 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 3283735424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399354000).

3283735424 is an abundant number, since it is smaller than the sum of its proper divisors (3514972576).

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

3283735424 is a wasteful number, since it uses less digits than its factorization.

3283735424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4123 counting only the distinct ones).

The product of its digits is 483840, while the sum is 41.

The square root of 3283735424 is about 57303.8866395640. The cubic root of 3283735424 is about 1486.3555850239.

The spelling of 3283735424 in words is "three billion, two hundred eighty-three million, seven hundred thirty-five thousand, four hundred twenty-four".