3656166300 has 216 divisors, whose sum is σ = 12028292640. Its totient is φ = 927628800.

The previous prime is 3656166281. The next prime is 3656166301. The reversal of 3656166300 is 36616563.

It is a happy number.

3656166300 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 16 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656166301) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1852114 + ... + 1854086.

It is an arithmetic number, because the mean of its divisors is an integer number (55686540).

Almost surely, 2^3656166300 is an apocalyptic number.

3656166300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3656166300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014146320).

3656166300 is an abundant number, since it is smaller than the sum of its proper divisors (8372126340).

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

3656166300 is a wasteful number, since it uses less digits than its factorization.

3656166300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3656166300 is about 60466.2409944590. The cubic root of 3656166300 is about 1540.5482811894.

The spelling of 3656166300 in words is "three billion, six hundred fifty-six million, one hundred sixty-six thousand, three hundred".