3872516508 has 144 divisors (see below), whose sum is σ = 11620889280. Its totient is φ = 1063867392.

The previous prime is 3872516491. The next prime is 3872516573. The reversal of 3872516508 is 8056152783.

3872516508 is a `hidden beast` number, since 3 + 87 + 2 + 516 + 50 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2023360 + ... + 2025272.

It is an arithmetic number, because the mean of its divisors is an integer number (80700620).

Almost surely, 2^3872516508 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 3872516508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810444640).

3872516508 is an abundant number, since it is smaller than the sum of its proper divisors (7748372772).

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

3872516508 is a wasteful number, since it uses less digits than its factorization.

3872516508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 3872516508 is about 62229.5469049872. The cubic root of 3872516508 is about 1570.3547020668.

It can be divided in two parts, 3872516 and 508, that added together give a square (3873024 = 1968²).

The spelling of 3872516508 in words is "three billion, eight hundred seventy-two million, five hundred sixteen thousand, five hundred eight".