3538059264 has 320 divisors, whose sum is σ = 11165066880. Its totient is φ = 1114767360.

The previous prime is 3538059263. The next prime is 3538059269. The reversal of 3538059264 is 4629508353.

3538059264 is a `hidden beast` number, since 3 + 5 + 380 + 5 + 9 + 264 = 666.

It is not an unprimeable number, because it can be changed into a prime (3538059263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82280427 + ... + 82280469.

It is an arithmetic number, because the mean of its divisors is an integer number (34890834).

Almost surely, 2^3538059264 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 3538059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582533440).

3538059264 is an abundant number, since it is smaller than the sum of its proper divisors (7627007616).

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

3538059264 is an frugal number, since it uses more digits than its factorization.

3538059264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3538059264 is about 59481.5876049051. The cubic root of 3538059264 is about 1523.7780072212.

The spelling of 3538059264 in words is "three billion, five hundred thirty-eight million, fifty-nine thousand, two hundred sixty-four".