3906828072 has 256 divisors, whose sum is σ = 13558579200. Its totient is φ = 1016478720.

The previous prime is 3906828071. The next prime is 3906828091. The reversal of 3906828072 is 2708286093.

It is a super-3 number, since 3×3906828072³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3906828071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 794373 + ... + 799275.

It is an arithmetic number, because the mean of its divisors is an integer number (52963200).

Almost surely, 2^3906828072 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 3906828072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779289600).

3906828072 is an abundant number, since it is smaller than the sum of its proper divisors (9651751128).

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

3906828072 is a wasteful number, since it uses less digits than its factorization.

3906828072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3906828072 is about 62504.6244049190. The cubic root of 3906828072 is about 1574.9789965453.

The spelling of 3906828072 in words is "three billion, nine hundred six million, eight hundred twenty-eight thousand, seventy-two".