3998023680 has 408 divisors, whose sum is σ = 15061630752. Its totient is φ = 902823936.

The previous prime is 3998023669. The next prime is 3998023721. The reversal of 3998023680 is 863208993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48168919 + ... + 48169001.

Almost surely, 2^3998023680 is an apocalyptic number.

3998023680 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 3998023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530815376).

3998023680 is an abundant number, since it is smaller than the sum of its proper divisors (11063607072).

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

3998023680 is an frugal number, since it uses more digits than its factorization.

3998023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 3998023680 is about 63229.9270915284. The cubic root of 3998023680 is about 1587.1395745293.

The spelling of 3998023680 in words is "three billion, nine hundred ninety-eight million, twenty-three thousand, six hundred eighty".