3633036340 has 72 divisors (see below), whose sum is σ = 8129254392. Its totient is φ = 1363568640.

The previous prime is 3633036287. The next prime is 3633036343. The reversal of 3633036340 is 436303363.

It is a happy number.

3633036340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 350663076 + 3282373264 = 18726^2 + 57292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633036343) 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, 2432634 + ... + 2434126.

It is an arithmetic number, because the mean of its divisors is an integer number (112906311).

Almost surely, 2^3633036340 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 3633036340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064627196).

3633036340 is an abundant number, since it is smaller than the sum of its proper divisors (4496218052).

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

3633036340 is a wasteful number, since it uses less digits than its factorization.

3633036340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 31.

The square root of 3633036340 is about 60274.6741177420. The cubic root of 3633036340 is about 1537.2927558148.

The spelling of 3633036340 in words is "three billion, six hundred thirty-three million, thirty-six thousand, three hundred forty".