3996832728 has 256 divisors, whose sum is σ = 12524912640. Its totient is φ = 1037836800.

The previous prime is 3996832699. The next prime is 3996832729. The reversal of 3996832728 is 8272386993.

It is a super-2 number, since 2×3996832728² = 31949343711223843968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996832729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7306551 + ... + 7307097.

It is an arithmetic number, because the mean of its divisors is an integer number (48925440).

Almost surely, 2^3996832728 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 3996832728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262456320).

3996832728 is an abundant number, since it is smaller than the sum of its proper divisors (8528079912).

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

3996832728 is a wasteful number, since it uses less digits than its factorization.

3996832728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 674 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The square root of 3996832728 is about 63220.5087610025. The cubic root of 3996832728 is about 1586.9819637595.

The spelling of 3996832728 in words is "three billion, nine hundred ninety-six million, eight hundred thirty-two thousand, seven hundred twenty-eight".