3549579264 has 576 divisors, whose sum is σ = 13307898240. Its totient is φ = 884736000.

The previous prime is 3549579247. The next prime is 3549579269. The reversal of 3549579264 is 4629759453.

3549579264 is a `hidden beast` number, since 3 + 5 + 4 + 9 + 579 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 3549579264.

It is not an unprimeable number, because it can be changed into a prime (3549579269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58189794 + ... + 58189854.

It is an arithmetic number, because the mean of its divisors is an integer number (23103990).

Almost surely, 2^3549579264 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 3549579264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653949120).

3549579264 is an abundant number, since it is smaller than the sum of its proper divisors (9758318976).

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

3549579264 is a wasteful number, since it uses less digits than its factorization.

3549579264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 3549579264 is about 59578.3455963658. The cubic root of 3549579264 is about 1525.4300339148.

The spelling of 3549579264 in words is "three billion, five hundred forty-nine million, five hundred seventy-nine thousand, two hundred sixty-four".