3999009600 has 252 divisors, whose sum is σ = 14273357280. Its totient is φ = 1061913600.

The previous prime is 3999009571. The next prime is 3999009611. The reversal of 3999009600 is 69009993.

3999009600 is a `hidden beast` number, since 39 + 9 + 9 + 0 + 0 + 9 + 600 = 666.

It is a super-3 number, since 3×3999009600³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4765981 + ... + 4766819.

Almost surely, 2^3999009600 is an apocalyptic number.

3999009600 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 3999009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136678640).

3999009600 is an abundant number, since it is smaller than the sum of its proper divisors (10274347680).

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

3999009600 is a wasteful number, since it uses less digits than its factorization.

3999009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The square root of 3999009600 is about 63237.7229191564. The cubic root of 3999009600 is about 1587.2700276536.

The spelling of 3999009600 in words is "three billion, nine hundred ninety-nine million, nine thousand, six hundred".