3661125606 has 48 divisors (see below), whose sum is σ = 8197158528. Its totient is φ = 1179734400.

The previous prime is 3661125581. The next prime is 3661125649. The reversal of 3661125606 is 6065211663.

3661125606 is a `hidden beast` number, since 36 + 6 + 1 + 12 + 5 + 606 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609136 + ... + 615116.

It is an arithmetic number, because the mean of its divisors is an integer number (170774136).

Almost surely, 2^3661125606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661125606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098579264).

3661125606 is an abundant number, since it is smaller than the sum of its proper divisors (4536032922).

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

3661125606 is a wasteful number, since it uses less digits than its factorization.

3661125606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7117 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3661125606 is about 60507.2359805007. The cubic root of 3661125606 is about 1541.2445112411.

The spelling of 3661125606 in words is "three billion, six hundred sixty-one million, one hundred twenty-five thousand, six hundred six".