3805878600 has 216 divisors, whose sum is σ = 13491823410. Its totient is φ = 961320960.

The previous prime is 3805878589. The next prime is 3805878607. The reversal of 3805878600 is 68785083.

3805878600 is a `hidden beast` number, since 3 + 8 + 0 + 587 + 8 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3554782884 + 251095716 = 59622^2 + 15846^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3805878607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 646872 + ... + 652728.

Almost surely, 2^3805878600 is an apocalyptic number.

3805878600 is a gapful number since it is divisible by the number (30) 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 3805878600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745911705).

3805878600 is an abundant number, since it is smaller than the sum of its proper divisors (9685944810).

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

3805878600 is a wasteful number, since it uses less digits than its factorization.

3805878600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 3805878600 is about 61691.8033453392. The cubic root of 3805878600 is about 1561.2950291745.

The spelling of 3805878600 in words is "three billion, eight hundred five million, eight hundred seventy-eight thousand, six hundred".