3531787672 has 128 divisors (see below), whose sum is σ = 8214566400. Its totient is φ = 1389238272.

The previous prime is 3531787657. The next prime is 3531787673. The reversal of 3531787672 is 2767871353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3531787673) 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, 12749998 + ... + 12750274.

It is an arithmetic number, because the mean of its divisors is an integer number (64176300).

Almost surely, 2^3531787672 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 3531787672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107283200).

3531787672 is an abundant number, since it is smaller than the sum of its proper divisors (4682778728).

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

3531787672 is a wasteful number, since it uses less digits than its factorization.

3531787672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 49.

The square root of 3531787672 is about 59428.8454540386. The cubic root of 3531787672 is about 1522.8771210324.

The spelling of 3531787672 in words is "three billion, five hundred thirty-one million, seven hundred eighty-seven thousand, six hundred seventy-two".