3656937144 has 128 divisors (see below), whose sum is σ = 11029593600. Its totient is φ = 987033600.

The previous prime is 3656937139. The next prime is 3656937161. The reversal of 3656937144 is 4417396563.

It is a junction number, because it is equal to n+sod(n) for n = 3656937093 and 3656937102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1278564 + ... + 1281420.

It is an arithmetic number, because the mean of its divisors is an integer number (86168700).

Almost surely, 2^3656937144 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 3656937144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514796800).

3656937144 is an abundant number, since it is smaller than the sum of its proper divisors (7372656456).

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

3656937144 is a wasteful number, since it uses less digits than its factorization.

3656937144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3289 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 3656937144 is about 60472.6148268785. The cubic root of 3656937144 is about 1540.6565402104.

The spelling of 3656937144 in words is "three billion, six hundred fifty-six million, nine hundred thirty-seven thousand, one hundred forty-four".