3969966888 has 192 divisors, whose sum is σ = 12265344000. Its totient is φ = 1152645120.

The previous prime is 3969966883. The next prime is 3969966943. The reversal of 3969966888 is 8886699693.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3969966883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 870438 + ... + 874986.

It is an arithmetic number, because the mean of its divisors is an integer number (63882000).

Almost surely, 2^3969966888 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 3969966888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672000).

3969966888 is an abundant number, since it is smaller than the sum of its proper divisors (8295377112).

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

3969966888 is a wasteful number, since it uses less digits than its factorization.

3969966888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4625 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The square root of 3969966888 is about 63007.6732469943. The cubic root of 3969966888 is about 1583.4181843158.

The spelling of 3969966888 in words is "three billion, nine hundred sixty-nine million, nine hundred sixty-six thousand, eight hundred eighty-eight".