3538624672 has 72 divisors (see below), whose sum is σ = 7674326100. Its totient is φ = 1604951040.

The previous prime is 3538624667. The next prime is 3538624693. The reversal of 3538624672 is 2764268353.

It can be written as a sum of positive squares in 2 ways, for example, as 3533589136 + 5035536 = 59444^2 + 2244^2 .

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 11 ways as a sum of consecutive naturals, for example, 2744604 + ... + 2745892.

Almost surely, 2^3538624672 is an apocalyptic number.

3538624672 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 3538624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837163050).

3538624672 is an abundant number, since it is smaller than the sum of its proper divisors (4135701428).

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

3538624672 is a wasteful number, since it uses less digits than its factorization.

3538624672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2011 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The square root of 3538624672 is about 59486.3402135314. The cubic root of 3538624672 is about 1523.8591732240.

The spelling of 3538624672 in words is "three billion, five hundred thirty-eight million, six hundred twenty-four thousand, six hundred seventy-two".