3320811648 has 256 divisors, whose sum is σ = 12220416000. Its totient is φ = 862479360.

The previous prime is 3320811647. The next prime is 3320811713. The reversal of 3320811648 is 8461180233.

3320811648 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 8 + 1 + 1 + 648 = 666.

It is a super-2 number, since 2×3320811648² = 22055580002984951808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3320811647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259873 + ... + 272351.

It is an arithmetic number, because the mean of its divisors is an integer number (47736000).

Almost surely, 2^3320811648 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 3320811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110208000).

3320811648 is an abundant number, since it is smaller than the sum of its proper divisors (8899604352).

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

3320811648 is a wasteful number, since it uses less digits than its factorization.

3320811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12520 (or 12502 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3320811648 is about 57626.4839114795. The cubic root of 3320811648 is about 1491.9287437788.

The spelling of 3320811648 in words is "three billion, three hundred twenty million, eight hundred eleven thousand, six hundred forty-eight".