3867534900 has 54 divisors (see below), whose sum is σ = 12122576102. Its totient is φ = 1031342400.

The previous prime is 3867534863. The next prime is 3867534907. The reversal of 3867534900 is 94357683.

3867534900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 628103844 + 3239431056 = 25062^2 + 56916^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3867534907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2147731 + ... + 2149530.

Almost surely, 2^3867534900 is an apocalyptic number.

3867534900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3867534900 is an abundant number, since it is smaller than the sum of its proper divisors (8255041202).

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

3867534900 is a wasteful number, since it uses less digits than its factorization.

3867534900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297281 (or 4297271 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3867534900 is about 62189.5079575325. The cubic root of 3867534900 is about 1569.6810446499.

The spelling of 3867534900 in words is "three billion, eight hundred sixty-seven million, five hundred thirty-four thousand, nine hundred".