3872712870 has 192 divisors, whose sum is σ = 11510763264. Its totient is φ = 930787200.

The previous prime is 3872712847. The next prime is 3872712887. The reversal of 3872712870 is 782172783.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1356945 + ... + 1359795.

It is an arithmetic number, because the mean of its divisors is an integer number (59951892).

Almost surely, 2^3872712870 is an apocalyptic number.

3872712870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3872712870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755381632).

3872712870 is an abundant number, since it is smaller than the sum of its proper divisors (7638050394).

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

3872712870 is a wasteful number, since it uses less digits than its factorization.

3872712870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 3872712870 is about 62231.1246081894. The cubic root of 3872712870 is about 1570.3812440478.

The spelling of 3872712870 in words is "three billion, eight hundred seventy-two million, seven hundred twelve thousand, eight hundred seventy".