3998115360 has 144 divisors (see below), whose sum is σ = 13720674240. Its totient is φ = 1060139520.

The previous prime is 3998115349. The next prime is 3998115383. The reversal of 3998115360 is 635118993.

3998115360 is a `hidden beast` number, since 39 + 9 + 81 + 1 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 250005 + ... + 265515.

It is an arithmetic number, because the mean of its divisors is an integer number (95282460).

Almost surely, 2^3998115360 is an apocalyptic number.

3998115360 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 3998115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860337120).

3998115360 is an abundant number, since it is smaller than the sum of its proper divisors (9722558880).

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

3998115360 is a wasteful number, since it uses less digits than its factorization.

3998115360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15711 (or 15700 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 3998115360 is about 63230.6520605315. The cubic root of 3998115360 is about 1587.1517061770.

The spelling of 3998115360 in words is "three billion, nine hundred ninety-eight million, one hundred fifteen thousand, three hundred sixty".