3996327456 has 288 divisors, whose sum is σ = 13539052800. Its totient is φ = 1146804480.

The previous prime is 3996327451. The next prime is 3996327469. The reversal of 3996327456 is 6547236993.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3996327451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1623955 + ... + 1626413.

It is an arithmetic number, because the mean of its divisors is an integer number (47010600).

Almost surely, 2^3996327456 is an apocalyptic number.

3996327456 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 3996327456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769526400).

3996327456 is an abundant number, since it is smaller than the sum of its proper divisors (9542725344).

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

3996327456 is a wasteful number, since it uses less digits than its factorization.

3996327456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2494 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The square root of 3996327456 is about 63216.5125263961. The cubic root of 3996327456 is about 1586.9150865263.

The spelling of 3996327456 in words is "three billion, nine hundred ninety-six million, three hundred twenty-seven thousand, four hundred fifty-six".