3997984516416 has 140 divisors (see below), whose sum is σ = 12928667706240. Its totient is φ = 1211510442240.

The previous prime is 3997984516399. The next prime is 3997984516453. The reversal of 3997984516416 is 6146154897993.

It is a happy number.

3997984516416 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 98 + 4 + 516 + 4 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34998256 + ... + 35112303.

Almost surely, 2^{3997984516416} is an apocalyptic number.

3997984516416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3997984516416 is an abundant number, since it is smaller than the sum of its proper divisors (8930683189824).

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

3997984516416 is a wasteful number, since it uses less digits than its factorization.

3997984516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70110594 (or 70110575 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 3997984516416 in words is "three trillion, nine hundred ninety-seven billion, nine hundred eighty-four million, five hundred sixteen thousand, four hundred sixteen".