3290385024 has 192 divisors, whose sum is σ = 9945244800. Its totient is φ = 1070968320.

The previous prime is 3290385001. The next prime is 3290385031. The reversal of 3290385024 is 4205830923.

3290385024 is a `hidden beast` number, since 32 + 90 + 38 + 502 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3290385024.

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, 7634089 + ... + 7634519.

It is an arithmetic number, because the mean of its divisors is an integer number (51798150).

Almost surely, 2^3290385024 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 3290385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972622400).

3290385024 is an abundant number, since it is smaller than the sum of its proper divisors (6654859776).

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

3290385024 is an equidigital number, since it uses as much as digits as its factorization.

3290385024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3290385024 is about 57361.8777935311. The cubic root of 3290385024 is about 1487.3582039731.

The spelling of 3290385024 in words is "three billion, two hundred ninety million, three hundred eighty-five thousand, twenty-four".