3971629449216 has 1008 divisors, whose sum is σ = 14106947574720. Its totient is φ = 1100753141760.

The previous prime is 3971629449191. The next prime is 3971629449251. The reversal of 3971629449216 is 6129449261793.

3971629449216 is a `hidden beast` number, since 3 + 9 + 7 + 162 + 9 + 449 + 21 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36436967370 + ... + 36436967478.

Almost surely, 2^{3971629449216} is an apocalyptic number.

3971629449216 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 3971629449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053473787360).

3971629449216 is an abundant number, since it is smaller than the sum of its proper divisors (10135318125504).

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

3971629449216 is an frugal number, since it uses more digits than its factorization.

3971629449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 138 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 3971629449216 in words is "three trillion, nine hundred seventy-one billion, six hundred twenty-nine million, four hundred forty-nine thousand, two hundred sixteen".