3327748736 has 128 divisors (see below), whose sum is σ = 7368051600. Its totient is φ = 1487536128.

The previous prime is 3327748733. The next prime is 3327748747. The reversal of 3327748736 is 6378477233.

It can be written as a sum of positive squares in 8 ways, for example, as 879478336 + 2448270400 = 29656^2 + 49480^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3327748736² = 22147823299899195392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3327748733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8554430 + ... + 8554818.

Almost surely, 2^3327748736 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 3327748736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684025800).

3327748736 is an abundant number, since it is smaller than the sum of its proper divisors (4040302864).

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

3327748736 is a wasteful number, since it uses less digits than its factorization.

3327748736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 50.

The square root of 3327748736 is about 57686.6426133468. The cubic root of 3327748736 is about 1492.9668878356.

The spelling of 3327748736 in words is "three billion, three hundred twenty-seven million, seven hundred forty-eight thousand, seven hundred thirty-six".