3991362816 has 324 divisors, whose sum is σ = 13162607808. Its totient is φ = 1070383104.

The previous prime is 3991362787. The next prime is 3991362853. The reversal of 3991362816 is 6182631993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10875465 + ... + 10875831.

Almost surely, 2^3991362816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3991362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581303904).

3991362816 is an abundant number, since it is smaller than the sum of its proper divisors (9171244992).

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

3991362816 is a wasteful number, since it uses less digits than its factorization.

3991362816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 396 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 3991362816 is about 63177.2333677251. The cubic root of 3991362816 is about 1586.2576723606.

The spelling of 3991362816 in words is "three billion, nine hundred ninety-one million, three hundred sixty-two thousand, eight hundred sixteen".