3864697684848 has 1440 divisors, whose sum is σ = 14995377651072. Its totient is φ = 903917076480.

The previous prime is 3864697684807. The next prime is 3864697684951. The reversal of 3864697684848 is 8484867964683.

3864697684848 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 69 + 76 + 8 + 484 + 8 = 666.

It is a super-2 number, since 2×3864697684848² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20024340240 + ... + 20024340432.

Almost surely, 2^{3864697684848} 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 3864697684848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497688825536).

3864697684848 is an abundant number, since it is smaller than the sum of its proper divisors (11130679966224).

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

3864697684848 is a wasteful number, since it uses less digits than its factorization.

3864697684848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

The product of its digits is 10701766656, while the sum is 81.

The spelling of 3864697684848 in words is "three trillion, eight hundred sixty-four billion, six hundred ninety-seven million, six hundred eighty-four thousand, eight hundred forty-eight".