3679233264 has 240 divisors, whose sum is σ = 12788705280. Its totient is φ = 963601920.

The previous prime is 3679233253. The next prime is 3679233289. The reversal of 3679233264 is 4623329763.

3679233264 is a `hidden beast` number, since 367 + 9 + 23 + 3 + 264 = 666.

3679233264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 590614 + ... + 596810.

It is an arithmetic number, because the mean of its divisors is an integer number (53286272).

Almost surely, 2^3679233264 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 3679233264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394352640).

3679233264 is an abundant number, since it is smaller than the sum of its proper divisors (9109472016).

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

3679233264 is a wasteful number, since it uses less digits than its factorization.

3679233264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268 (or 6259 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 3679233264 is about 60656.6835888676. The cubic root of 3679233264 is about 1543.7812942478.

The spelling of 3679233264 in words is "three billion, six hundred seventy-nine million, two hundred thirty-three thousand, two hundred sixty-four".