3968028000 has 480 divisors, whose sum is σ = 15002795808. Its totient is φ = 1026432000.

The previous prime is 3968027977. The next prime is 3968028013. The reversal of 3968028000 is 8208693.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11987835 + ... + 11988165.

Almost surely, 2^3968028000 is an apocalyptic number.

3968028000 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 3968028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501397904).

3968028000 is an abundant number, since it is smaller than the sum of its proper divisors (11034767808).

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

3968028000 is a wasteful number, since it uses less digits than its factorization.

3968028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3968028000 is about 62992.2852419247. The cubic root of 3968028000 is about 1583.1603676862.

The spelling of 3968028000 in words is "three billion, nine hundred sixty-eight million, twenty-eight thousand".