3865934867648 has 224 divisors, whose sum is σ = 9510515904000. Its totient is φ = 1554069888000.

The previous prime is 3865934867623. The next prime is 3865934867659. The reversal of 3865934867648 is 8467684395683.

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

It is a super-3 number, since 3×3865934867648³ (a number of 39 digits) contains 333 as substring.

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, 42080003 + ... + 42171773.

Almost surely, 2^{3865934867648} is an apocalyptic number.

3865934867648 is a gapful number since it is divisible by the number (38) 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 3865934867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755257952000).

3865934867648 is an abundant number, since it is smaller than the sum of its proper divisors (5644581036352).

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

3865934867648 is a wasteful number, since it uses less digits than its factorization.

3865934867648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91924 (or 91900 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 77.

The spelling of 3865934867648 in words is "three trillion, eight hundred sixty-five billion, nine hundred thirty-four million, eight hundred sixty-seven thousand, six hundred forty-eight".