3997776384 has 400 divisors, whose sum is σ = 13974605568. Its totient is φ = 1114103808.

The previous prime is 3997776329. The next prime is 3997776397. The reversal of 3997776384 is 4836777993.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13644142 + ... + 13644434.

Almost surely, 2^3997776384 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 3997776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987302784).

3997776384 is an abundant number, since it is smaller than the sum of its proper divisors (9976829184).

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

3997776384 is an equidigital number, since it uses as much as digits as its factorization.

3997776384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 352 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The square root of 3997776384 is about 63227.9715315935. The cubic root of 3997776384 is about 1587.1068499140.

The spelling of 3997776384 in words is "three billion, nine hundred ninety-seven million, seven hundred seventy-six thousand, three hundred eighty-four".