3996936216 has 384 divisors, whose sum is σ = 14211724800. Its totient is φ = 985374720.

The previous prime is 3996936199. The next prime is 3996936239. The reversal of 3996936216 is 6126396993.

3996936216 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 9 + 3 + 621 + 6 = 666.

It is a super-2 number, since 2×3996936216² = 31950998229544797312, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 12075171 + ... + 12075501.

It is an arithmetic number, because the mean of its divisors is an integer number (37009700).

Almost surely, 2^3996936216 is an apocalyptic number.

3996936216 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 3996936216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105862400).

3996936216 is an abundant number, since it is smaller than the sum of its proper divisors (10214788584).

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

3996936216 is a wasteful number, since it uses less digits than its factorization.

3996936216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The square root of 3996936216 is about 63221.3272242841. The cubic root of 3996936216 is about 1586.9956606192.

The spelling of 3996936216 in words is "three billion, nine hundred ninety-six million, nine hundred thirty-six thousand, two hundred sixteen".