3197982816 has 384 divisors, whose sum is σ = 11325726720. Its totient is φ = 858470400.

The previous prime is 3197982797. The next prime is 3197982839. The reversal of 3197982816 is 6182897913.

3197982816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 6936826 + ... + 6937286.

It is an arithmetic number, because the mean of its divisors is an integer number (29494080).

Almost surely, 2^3197982816 is an apocalyptic number.

3197982816 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 3197982816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662863360).

3197982816 is an abundant number, since it is smaller than the sum of its proper divisors (8127743904).

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

3197982816 is a wasteful number, since it uses less digits than its factorization.

3197982816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 3197982816 is about 56550.7101281673. The cubic root of 3197982816 is about 1473.3028939792.

The spelling of 3197982816 in words is "three billion, one hundred ninety-seven million, nine hundred eighty-two thousand, eight hundred sixteen".