3998177920 has 128 divisors (see below), whose sum is σ = 10532177280. Its totient is φ = 1439232000.

The previous prime is 3998177867. The next prime is 3998177933. The reversal of 3998177920 is 297718993.

3998177920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708229 + ... + 713851.

It is an arithmetic number, because the mean of its divisors is an integer number (82282635).

Almost surely, 2^3998177920 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 3998177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266088640).

3998177920 is an abundant number, since it is smaller than the sum of its proper divisors (6533999360).

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

3998177920 is a wasteful number, since it uses less digits than its factorization.

3998177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 55.

The square root of 3998177920 is about 63231.1467553768. The cubic root of 3998177920 is about 1587.1599843851.

The spelling of 3998177920 in words is "three billion, nine hundred ninety-eight million, one hundred seventy-seven thousand, nine hundred twenty".