3294982656 has 180 divisors, whose sum is σ = 11062879542. Its totient is φ = 941359104.

The previous prime is 3294982651. The next prime is 3294982667. The reversal of 3294982656 is 6562894923.

It is a happy number.

3294982656 is a `hidden beast` number, since 3 + 294 + 98 + 265 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3224422656 + 70560000 = 56784^2 + 8400^2 .

It is not an unprimeable number, because it can be changed into a prime (3294982651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 218496 + ... + 233088.

Almost surely, 2^3294982656 is an apocalyptic number.

3294982656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3294982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531439771).

3294982656 is an abundant number, since it is smaller than the sum of its proper divisors (7767896886).

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

3294982656 is a wasteful number, since it uses less digits than its factorization.

3294982656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14631 (or 14605 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 3294982656 is about 57401.9394794287. The cubic root of 3294982656 is about 1488.0506399693.

The spelling of 3294982656 in words is "three billion, two hundred ninety-four million, nine hundred eighty-two thousand, six hundred fifty-six".