3311497728 has 800 divisors, whose sum is σ = 13261615488. Its totient is φ = 796262400.

The previous prime is 3311497681. The next prime is 3311497741. The reversal of 3311497728 is 8277941133.

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

Its product of digits (254016) is a multiple of the sum of its prime factors (126).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 54286818 + ... + 54286878.

Almost surely, 2^3311497728 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 3311497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630807744).

3311497728 is an abundant number, since it is smaller than the sum of its proper divisors (9950117760).

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

3311497728 is a wasteful number, since it uses less digits than its factorization.

3311497728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 3311497728 is about 57545.6143246382. The cubic root of 3311497728 is about 1490.5326276211.

The spelling of 3311497728 in words is "three billion, three hundred eleven million, four hundred ninety-seven thousand, seven hundred twenty-eight".