3626205066 has 192 divisors, whose sum is σ = 9250899840. Its totient is φ = 1016064000.

The previous prime is 3626205013. The next prime is 3626205071. The reversal of 3626205066 is 6605026263.

3626205066 is a `hidden beast` number, since 3 + 626 + 20 + 5 + 0 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3626205066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17185701 + ... + 17185911.

It is an arithmetic number, because the mean of its divisors is an integer number (48181770).

Almost surely, 2^3626205066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3626205066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625449920).

3626205066 is an abundant number, since it is smaller than the sum of its proper divisors (5624694774).

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

3626205066 is a wasteful number, since it uses less digits than its factorization.

3626205066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3626205066 is about 60217.9795908166. The cubic root of 3626205066 is about 1536.3286167217.

The spelling of 3626205066 in words is "three billion, six hundred twenty-six million, two hundred five thousand, sixty-six".