3998905680 has 480 divisors, whose sum is σ = 16569653760. Its totient is φ = 786723840.

The previous prime is 3998905663. The next prime is 3998905723. The reversal of 3998905680 is 865098993.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 3998905680.

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 95 ways as a sum of consecutive naturals, for example, 2457027 + ... + 2458653.

It is an arithmetic number, because the mean of its divisors is an integer number (34520112).

Almost surely, 2^3998905680 is an apocalyptic number.

3998905680 is a gapful number since it is divisible by the number (30) 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 3998905680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8284826880).

3998905680 is an abundant number, since it is smaller than the sum of its proper divisors (12570748080).

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

3998905680 is a wasteful number, since it uses less digits than its factorization.

3998905680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The square root of 3998905680 is about 63236.9012523542. The cubic root of 3998905680 is about 1587.2562783717.

The spelling of 3998905680 in words is "three billion, nine hundred ninety-eight million, nine hundred five thousand, six hundred eighty".