3867243264 has 360 divisors, whose sum is σ = 12242538000. Its totient is φ = 1212309504.

The previous prime is 3867243221. The next prime is 3867243307. The reversal of 3867243264 is 4623427683.

3867243264 is a `hidden beast` number, since 386 + 7 + 2 + 4 + 3 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (3867243221) and next prime (3867243307).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35479242 + ... + 35479350.

It is an arithmetic number, because the mean of its divisors is an integer number (34007050).

Almost surely, 2^3867243264 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 3867243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121269000).

3867243264 is an abundant number, since it is smaller than the sum of its proper divisors (8375294736).

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

3867243264 is a wasteful number, since it uses less digits than its factorization.

3867243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 3867243264 is about 62187.1631769773. The cubic root of 3867243264 is about 1569.6415891121.

The spelling of 3867243264 in words is "three billion, eight hundred sixty-seven million, two hundred forty-three thousand, two hundred sixty-four".