3656659104 has 216 divisors, whose sum is σ = 12327112980. Its totient is φ = 1024837632.

The previous prime is 3656659103. The next prime is 3656659109. The reversal of 3656659104 is 4019566563.

3656659104 is a `hidden beast` number, since 3 + 6 + 56 + 6 + 591 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3487138704 + 169520400 = 59052^2 + 13020^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3656659104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656659103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 745492 + ... + 750380.

Almost surely, 2^3656659104 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 3656659104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163556490).

3656659104 is an abundant number, since it is smaller than the sum of its proper divisors (8670453876).

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

3656659104 is a wasteful number, since it uses less digits than its factorization.

3656659104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3656659104 is about 60470.3158913528. The cubic root of 3656659104 is about 1540.6174934176.

The spelling of 3656659104 in words is "three billion, six hundred fifty-six million, six hundred fifty-nine thousand, one hundred four".