3875416506 has 48 divisors (see below), whose sum is σ = 9067478784. Its totient is φ = 1189160352.

The previous prime is 3875416499. The next prime is 3875416507. The reversal of 3875416506 is 6056145783.

3875416506 is a `hidden beast` number, since 3 + 87 + 54 + 16 + 506 = 666.

It is not an unprimeable number, because it can be changed into a prime (3875416507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63315 + ... + 108441.

It is an arithmetic number, because the mean of its divisors is an integer number (188905808).

Almost surely, 2^3875416506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3875416506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533739392).

3875416506 is an abundant number, since it is smaller than the sum of its proper divisors (5192062278).

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

3875416506 is a wasteful number, since it uses less digits than its factorization.

3875416506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45515 (or 45512 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3875416506 is about 62252.8433567496. The cubic root of 3875416506 is about 1570.7465996157.

The spelling of 3875416506 in words is "three billion, eight hundred seventy-five million, four hundred sixteen thousand, five hundred six".