3866658768 has 240 divisors, whose sum is σ = 13241819136. Its totient is φ = 1068888960.

The previous prime is 3866658689. The next prime is 3866658781. The reversal of 3866658768 is 8678566683.

3866658768 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 Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841405 + ... + 845987.

Almost surely, 2^3866658768 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 3866658768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620909568).

3866658768 is an abundant number, since it is smaller than the sum of its proper divisors (9375160368).

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

3866658768 is a wasteful number, since it uses less digits than its factorization.

3866658768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4626 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The square root of 3866658768 is about 62182.4635086131. The cubic root of 3866658768 is about 1569.5625064691.

The spelling of 3866658768 in words is "three billion, eight hundred sixty-six million, six hundred fifty-eight thousand, seven hundred sixty-eight".