3867945536 has 168 divisors, whose sum is σ = 10182840696. Its totient is φ = 1439907840.

The previous prime is 3867945517. The next prime is 3867945559. The reversal of 3867945536 is 6355497683.

It can be written as a sum of positive squares in 4 ways, for example, as 237160000 + 3630785536 = 15400^2 + 60256^2 .

It is a super-2 number, since 2×3867945536² = 29922005338924654592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690266 + ... + 695846.

It is an arithmetic number, because the mean of its divisors is an integer number (60612147).

Almost surely, 2^3867945536 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 3867945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091420348).

3867945536 is an abundant number, since it is smaller than the sum of its proper divisors (6314895160).

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

3867945536 is a wasteful number, since it uses less digits than its factorization.

3867945536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5620 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 56.

The square root of 3867945536 is about 62192.8093592820. The cubic root of 3867945536 is about 1569.7365963773.

The spelling of 3867945536 in words is "three billion, eight hundred sixty-seven million, nine hundred forty-five thousand, five hundred thirty-six".