3906511872 has 352 divisors, whose sum is σ = 12073697280. Its totient is φ = 1114767360.

The previous prime is 3906511867. The next prime is 3906511877. The reversal of 3906511872 is 2781156093.

It is an interprime number because it is at equal distance from previous prime (3906511867) and next prime (3906511877).

It is not an unprimeable number, because it can be changed into a prime (3906511877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30759873 + ... + 30759999.

Almost surely, 2^3906511872 is an apocalyptic number.

3906511872 is a gapful number since it is divisible by the number (32) 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 3906511872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6036848640).

3906511872 is an abundant number, since it is smaller than the sum of its proper divisors (8167185408).

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

3906511872 is a wasteful number, since it uses less digits than its factorization.

3906511872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 3906511872 is about 62502.0949408898. The cubic root of 3906511872 is about 1574.9365049737.

The spelling of 3906511872 in words is "three billion, nine hundred six million, five hundred eleven thousand, eight hundred seventy-two".