3382236648 has 320 divisors, whose sum is σ = 11374387200. Its totient is φ = 918656640.

The previous prime is 3382236631. The next prime is 3382236659. The reversal of 3382236648 is 8466322833.

3382236648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 58157²-1.

It is a super-2 number, since 2×3382236648² = 22879049486148551808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9421093 + ... + 9421451.

It is an arithmetic number, because the mean of its divisors is an integer number (35544960).

Almost surely, 2^3382236648 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 3382236648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687193600).

3382236648 is an abundant number, since it is smaller than the sum of its proper divisors (7992150552).

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

3382236648 is a wasteful number, since it uses less digits than its factorization.

3382236648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 469 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3382236648 is about 58156.9999914026. Note that the first 5 decimals coincide. The cubic root of 3382236648 is about 1501.0713306516.

The spelling of 3382236648 in words is "three billion, three hundred eighty-two million, two hundred thirty-six thousand, six hundred forty-eight".