3513084672 has 288 divisors, whose sum is σ = 10219345920. Its totient is φ = 1069056000.

The previous prime is 3513084647. The next prime is 3513084683. The reversal of 3513084672 is 2764803153.

It is a self number, because there is not a number n which added to its sum of digits gives 3513084672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57591522 + ... + 57591582.

It is an arithmetic number, because the mean of its divisors is an integer number (35483840).

Almost surely, 2^3513084672 is an apocalyptic number.

3513084672 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 3513084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109672960).

3513084672 is an abundant number, since it is smaller than the sum of its proper divisors (6706261248).

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

3513084672 is a wasteful number, since it uses less digits than its factorization.

3513084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3513084672 is about 59271.2803303590. The cubic root of 3513084672 is about 1520.1841697434.

The spelling of 3513084672 in words is "three billion, five hundred thirteen million, eighty-four thousand, six hundred seventy-two".