3998480640 has 288 divisors, whose sum is σ = 15922400256. Its totient is φ = 830791680.

The previous prime is 3998480587. The next prime is 3998480663. The reversal of 3998480640 is 460848993.

It is a happy number.

3998480640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288919 + ... + 302441.

It is an arithmetic number, because the mean of its divisors is an integer number (55286112).

Almost surely, 2^3998480640 is an apocalyptic number.

3998480640 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 3998480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7961200128).

3998480640 is an abundant number, since it is smaller than the sum of its proper divisors (11923919616).

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

3998480640 is a wasteful number, since it uses less digits than its factorization.

3998480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13565 (or 13551 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 3998480640 is about 63233.5404670654. The cubic root of 3998480640 is about 1587.2000403768.

The spelling of 3998480640 in words is "three billion, nine hundred ninety-eight million, four hundred eighty thousand, six hundred forty".