3872069964 has 216 divisors, whose sum is σ = 12508554240. Its totient is φ = 1002310848.

The previous prime is 3872069947. The next prime is 3872069969. The reversal of 3872069964 is 4699602783.

It is a happy number.

3872069964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3872069964² = 29985851612221922592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3872069964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872069969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 768357 + ... + 773379.

Almost surely, 2^3872069964 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 3872069964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254277120).

3872069964 is an abundant number, since it is smaller than the sum of its proper divisors (8636484276).

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

3872069964 is a wasteful number, since it uses less digits than its factorization.

3872069964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3872069964 is about 62225.9589239089. The cubic root of 3872069964 is about 1570.2943399893.

The spelling of 3872069964 in words is "three billion, eight hundred seventy-two million, sixty-nine thousand, nine hundred sixty-four".