3963960000 has 1260 divisors, whose sum is σ = 19207364176. Its totient is φ = 760320000.

The previous prime is 3963959981. The next prime is 3963960037. The reversal of 3963960000 is 693693.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 304919994 + ... + 304920006.

Almost surely, 2^3963960000 is an apocalyptic number.

3963960000 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 3963960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603682088).

3963960000 is an abundant number, since it is smaller than the sum of its proper divisors (15243404176).

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

3963960000 is a wasteful number, since it uses less digits than its factorization.

3963960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3963960000 is about 62959.9872935184. The cubic root of 3963960000 is about 1582.6191669955.

It can be divided in two parts, 396 and 3960000, that multiplied together give a square (1568160000 = 39600²).

The spelling of 3963960000 in words is "three billion, nine hundred sixty-three million, nine hundred sixty thousand".