3999424000 has 640 divisors, whose sum is σ = 12869176320. Its totient is φ = 1216512000.

The previous prime is 3999423983. The next prime is 3999424001. The reversal of 3999424000 is 4249993.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3999424001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173887989 + ... + 173888011.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2^3999424000 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 3999424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434588160).

3999424000 is an abundant number, since it is smaller than the sum of its proper divisors (8869752320).

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

3999424000 is a wasteful number, since it uses less digits than its factorization.

3999424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 3999424000 is about 63240.9993595927. Note that the first 3 decimals coincide. The cubic root of 3999424000 is about 1587.3248530600.

The spelling of 3999424000 in words is "three billion, nine hundred ninety-nine million, four hundred twenty-four thousand".