3657839852304 has 135 divisors (see below), whose sum is σ = 11252874803989. Its totient is φ = 1108359816960.

The previous prime is 3657839852269. The next prime is 3657839852333. The reversal of 3657839852304 is 4032589387563.

It is a happy number.

The square root of 3657839852304 is 1912548.

It is a perfect power (a square), and thus also a powerful number.

3657839852304 is a `hidden beast` number, since 3 + 6 + 5 + 7 + 8 + 398 + 5 + 230 + 4 = 666.

3657839852304 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 only one way, i.e., 529186412304 + 3128653440000 = 727452^2 + 1768800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 252449092 + ... + 252463580.

Almost surely, 2^{3657839852304} is an apocalyptic number.

3657839852304 is the 1912548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3657839852304

3657839852304 is an abundant number, since it is smaller than the sum of its proper divisors (7595034951685).

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

3657839852304 is an equidigital number, since it uses as much as digits as its factorization.

3657839852304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29014 (or 14505 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 3657839852304 in words is "three trillion, six hundred fifty-seven billion, eight hundred thirty-nine million, eight hundred fifty-two thousand, three hundred four".