3481572672 has 56 divisors (see below), whose sum is σ = 10235184000. Its totient is φ = 1160523648.

The previous prime is 3481572671. The next prime is 3481572709. The reversal of 3481572672 is 2762751843.

3481572672 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 572 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481572671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1005672 + ... + 1009127.

Almost surely, 2^3481572672 is an apocalyptic number.

3481572672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3481572672 is an abundant number, since it is smaller than the sum of its proper divisors (6753611328).

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

3481572672 is a wasteful number, since it uses less digits than its factorization.

3481572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014820 (or 2014804 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 3481572672 is about 59004.8529529563. The cubic root of 3481572672 is about 1515.6252139622.

The spelling of 3481572672 in words is "three billion, four hundred eighty-one million, five hundred seventy-two thousand, six hundred seventy-two".