3998243340 has 576 divisors, whose sum is σ = 16290892800. Its totient is φ = 769886208.

The previous prime is 3998243339. The next prime is 3998243357. The reversal of 3998243340 is 433428993.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9025159 + ... + 9025601.

It is an arithmetic number, because the mean of its divisors is an integer number (28282800).

Almost surely, 2^3998243340 is an apocalyptic number.

3998243340 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 3998243340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145446400).

3998243340 is an abundant number, since it is smaller than the sum of its proper divisors (12292649460).

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

3998243340 is a wasteful number, since it uses less digits than its factorization.

3998243340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3998243340 is about 63231.6640616076. The cubic root of 3998243340 is about 1587.1686409483.

The spelling of 3998243340 in words is "three billion, nine hundred ninety-eight million, two hundred forty-three thousand, three hundred forty".