3998342304 has 384 divisors, whose sum is σ = 13493329920. Its totient is φ = 1140480000.

The previous prime is 3998342297. The next prime is 3998342323. The reversal of 3998342304 is 4032438993.

3998342304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3998342304.

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, 12079419 + ... + 12079749.

It is an arithmetic number, because the mean of its divisors is an integer number (35138880).

Almost surely, 2^3998342304 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 3998342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746664960).

3998342304 is an abundant number, since it is smaller than the sum of its proper divisors (9494987616).

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

3998342304 is a wasteful number, since it uses less digits than its factorization.

3998342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

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

The square root of 3998342304 is about 63232.4466077345. The cubic root of 3998342304 is about 1587.1817359710.

The spelling of 3998342304 in words is "three billion, nine hundred ninety-eight million, three hundred forty-two thousand, three hundred four".