3867663552 has 112 divisors (see below), whose sum is σ = 10669950720. Its totient is φ = 1235340288.

The previous prime is 3867663533. The next prime is 3867663563. The reversal of 3867663552 is 2553667683.

It is a happy number.

3867663552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3867663495 and 3867663504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433149 + ... + 441987.

Almost surely, 2^3867663552 is an apocalyptic number.

3867663552 is a gapful number since it is divisible by the number (32) 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 3867663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334975360).

3867663552 is an abundant number, since it is smaller than the sum of its proper divisors (6802287168).

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

3867663552 is a wasteful number, since it uses less digits than its factorization.

3867663552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8950 (or 8940 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The square root of 3867663552 is about 62190.5423034725. The cubic root of 3867663552 is about 1569.6984493940.

The spelling of 3867663552 in words is "three billion, eight hundred sixty-seven million, six hundred sixty-three thousand, five hundred fifty-two".