3998787072 has 320 divisors, whose sum is σ = 12803180544. Its totient is φ = 1085276160.

The previous prime is 3998787049. The next prime is 3998787097. The reversal of 3998787072 is 2707878993.

It is a junction number, because it is equal to n+sod(n) for n = 3998786997 and 3998787015.

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 31 ways as a sum of consecutive naturals, for example, 20719008 + ... + 20719200.

Almost surely, 2^3998787072 is an apocalyptic number.

3998787072 is a gapful number since it is divisible by the number (32) 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 3998787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401590272).

3998787072 is an abundant number, since it is smaller than the sum of its proper divisors (8804393472).

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

3998787072 is a wasteful number, since it uses less digits than its factorization.

3998787072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 60.

The square root of 3998787072 is about 63235.9634385371. The cubic root of 3998787072 is about 1587.2405854823.

The spelling of 3998787072 in words is "three billion, nine hundred ninety-eight million, seven hundred eighty-seven thousand, seventy-two".