3531169664 has 64 divisors (see below), whose sum is σ = 7782583680. Its totient is φ = 1582425600.

The previous prime is 3531169661. The next prime is 3531169687. The reversal of 3531169664 is 4669611353.

3531169664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3531169661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82307 + ... + 117629.

It is an arithmetic number, because the mean of its divisors is an integer number (121602870).

Almost surely, 2^3531169664 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 3531169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891291840).

3531169664 is an abundant number, since it is smaller than the sum of its proper divisors (4251414016).

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

3531169664 is a wasteful number, since it uses less digits than its factorization.

3531169664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35419 (or 35407 counting only the distinct ones).

The product of its digits is 349920, while the sum is 44.

The square root of 3531169664 is about 59423.6456639947. The cubic root of 3531169664 is about 1522.7882892346.

The spelling of 3531169664 in words is "three billion, five hundred thirty-one million, one hundred sixty-nine thousand, six hundred sixty-four".