3998476224 has 280 divisors, whose sum is σ = 12391948800. Its totient is φ = 1273397760.

The previous prime is 3998476219. The next prime is 3998476241. The reversal of 3998476224 is 4226748993.

3998476224 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 4 + 7 + 622 + 4 = 666.

It is a super-2 number, since 2×3998476224² = 31975624227786596352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22337767 + ... + 22337945.

It is an arithmetic number, because the mean of its divisors is an integer number (44256960).

Almost surely, 2^3998476224 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 3998476224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195974400).

3998476224 is an abundant number, since it is smaller than the sum of its proper divisors (8393472576).

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

3998476224 is a wasteful number, since it uses less digits than its factorization.

3998476224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3998476224 is about 63233.5055488781. The cubic root of 3998476224 is about 1587.1994560650.

The spelling of 3998476224 in words is "three billion, nine hundred ninety-eight million, four hundred seventy-six thousand, two hundred twenty-four".