3613433364 has 72 divisors (see below), whose sum is σ = 9343774440. Its totient is φ = 1176993792.

The previous prime is 3613433363. The next prime is 3613433381. The reversal of 3613433364 is 4633343163.

3613433364 is a `hidden beast` number, since 3 + 613 + 4 + 3 + 3 + 36 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2840037264 + 773396100 = 53292^2 + 27810^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3613433363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486672 + ... + 494040.

It is an arithmetic number, because the mean of its divisors is an integer number (129774645).

Almost surely, 2^3613433364 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 3613433364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671887220).

3613433364 is an abundant number, since it is smaller than the sum of its proper divisors (5730341076).

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

3613433364 is a wasteful number, since it uses less digits than its factorization.

3613433364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689 (or 7684 counting only the distinct ones).

The product of its digits is 139968, while the sum is 36.

The square root of 3613433364 is about 60111.8404642546. The cubic root of 3613433364 is about 1534.5228158783.

The spelling of 3613433364 in words is "three billion, six hundred thirteen million, four hundred thirty-three thousand, three hundred sixty-four".