3996366336 has 320 divisors, whose sum is σ = 12401706240. Its totient is φ = 1285466112.

The previous prime is 3996366329. The next prime is 3996366347. The reversal of 3996366336 is 6336636993.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48148951 + ... + 48149033.

It is an arithmetic number, because the mean of its divisors is an integer number (38755332).

Almost surely, 2^3996366336 is an apocalyptic number.

3996366336 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 3996366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200853120).

3996366336 is an abundant number, since it is smaller than the sum of its proper divisors (8405339904).

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

3996366336 is an frugal number, since it uses more digits than its factorization.

3996366336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its digits is 8503056, while the sum is 54.

The square root of 3996366336 is about 63216.8200402393. The cubic root of 3996366336 is about 1586.9202328395.

The spelling of 3996366336 in words is "three billion, nine hundred ninety-six million, three hundred sixty-six thousand, three hundred thirty-six".