3998828736 has 280 divisors, whose sum is σ = 13631143680. Its totient is φ = 1135461888.

The previous prime is 3998828719. The next prime is 3998828767. The reversal of 3998828736 is 6378288993.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 9543535 + ... + 9543953.

It is an arithmetic number, because the mean of its divisors is an integer number (48682656).

Almost surely, 2^3998828736 is an apocalyptic number.

3998828736 is a gapful number since it is divisible by the number (36) 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 3998828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815571840).

3998828736 is an abundant number, since it is smaller than the sum of its proper divisors (9632314944).

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

3998828736 is a wasteful number, since it uses less digits than its factorization.

3998828736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 694 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 3998828736 is about 63236.2928704711. The cubic root of 3998828736 is about 1587.2460980341.

The spelling of 3998828736 in words is "three billion, nine hundred ninety-eight million, eight hundred twenty-eight thousand, seven hundred thirty-six".