3083052672 has 256 divisors, whose sum is σ = 10737254400. Its totient is φ = 852249600.

The previous prime is 3083052671. The next prime is 3083052677. The reversal of 3083052672 is 2762503803.

3083052672 is a `hidden beast` number, since 30 + 8 + 30 + 526 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3083052671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747897 + ... + 752007.

It is an arithmetic number, because the mean of its divisors is an integer number (41942400).

Almost surely, 2^3083052672 is an apocalyptic number.

3083052672 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 3083052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368627200).

3083052672 is an abundant number, since it is smaller than the sum of its proper divisors (7654201728).

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

3083052672 is a wasteful number, since it uses less digits than its factorization.

3083052672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3083052672 is about 55525.2435564222. The cubic root of 3083052672 is about 1455.4377936500.

The spelling of 3083052672 in words is "three billion, eighty-three million, fifty-two thousand, six hundred seventy-two".