3996267336936 has 384 divisors, whose sum is σ = 13156765718400. Its totient is φ = 1120447641600.

The previous prime is 3996267336923. The next prime is 3996267336937. The reversal of 3996267336936 is 6396337626993.

3996267336936 is a `hidden beast` number, since 3 + 99 + 62 + 67 + 336 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (3996267336937) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120778651 + ... + 120811733.

It is an arithmetic number, because the mean of its divisors is an integer number (34262410725).

Almost surely, 2^{3996267336936} is an apocalyptic number.

3996267336936 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 3996267336936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578382859200).

3996267336936 is an abundant number, since it is smaller than the sum of its proper divisors (9160498381464).

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

3996267336936 is a wasteful number, since it uses less digits than its factorization.

3996267336936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33326 (or 33309 counting only the distinct ones).

The product of its digits is 1071385056, while the sum is 72.

The spelling of 3996267336936 in words is "three trillion, nine hundred ninety-six billion, two hundred sixty-seven million, three hundred thirty-six thousand, nine hundred thirty-six".