3865968960 has 224 divisors, whose sum is σ = 14065373952. Its totient is φ = 881295360.

The previous prime is 3865968959. The next prime is 3865968989. The reversal of 3865968960 is 698695683.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×3865968960³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3865968894 and 3865968903.

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, 4387720 + ... + 4388600.

It is an arithmetic number, because the mean of its divisors is an integer number (62791848).

Almost surely, 2^3865968960 is an apocalyptic number.

3865968960 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 3865968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032686976).

3865968960 is an abundant number, since it is smaller than the sum of its proper divisors (10199404992).

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

3865968960 is a wasteful number, since it uses less digits than its factorization.

3865968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The square root of 3865968960 is about 62176.9166170211. The cubic root of 3865968960 is about 1569.4691647988.

The spelling of 3865968960 in words is "three billion, eight hundred sixty-five million, nine hundred sixty-eight thousand, nine hundred sixty".