3968124000 has 192 divisors, whose sum is σ = 13420173312. Its totient is φ = 1023936000.

The previous prime is 3968123983. The next prime is 3968124023. The reversal of 3968124000 is 4218693.

It is a congruent number.

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, 366667 + ... + 377333.

It is an arithmetic number, because the mean of its divisors is an integer number (69896736).

Almost surely, 2^3968124000 is an apocalyptic number.

3968124000 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 3968124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710086656).

3968124000 is an abundant number, since it is smaller than the sum of its proper divisors (9452049312).

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

3968124000 is a wasteful number, since it uses less digits than its factorization.

3968124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10726 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3968124000 is about 62993.0472353894. The cubic root of 3968124000 is about 1583.1731349154.

The spelling of 3968124000 in words is "three billion, nine hundred sixty-eight million, one hundred twenty-four thousand".