3706575264 has 288 divisors, whose sum is σ = 12559712256. Its totient is φ = 1014612480.

The previous prime is 3706575253. The next prime is 3706575277. The reversal of 3706575264 is 4625756073.

3706575264 is a `hidden beast` number, since 3 + 70 + 6 + 57 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7936759 + ... + 7937225.

It is an arithmetic number, because the mean of its divisors is an integer number (43610112).

Almost surely, 2^3706575264 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 3706575264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279856128).

3706575264 is an abundant number, since it is smaller than the sum of its proper divisors (8853136992).

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

3706575264 is a wasteful number, since it uses less digits than its factorization.

3706575264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 3706575264 is about 60881.6496491348. The cubic root of 3706575264 is about 1547.5960326421.

The spelling of 3706575264 in words is "three billion, seven hundred six million, five hundred seventy-five thousand, two hundred sixty-four".