3685475808 has 288 divisors, whose sum is σ = 12589758720. Its totient is φ = 1045820160.

The previous prime is 3685475753. The next prime is 3685475831. The reversal of 3685475808 is 8085745863.

3685475808 is a `hidden beast` number, since 3 + 6 + 8 + 54 + 7 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 11134203 + ... + 11134533.

It is an arithmetic number, because the mean of its divisors is an integer number (43714440).

Almost surely, 2^3685475808 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 3685475808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294879360).

3685475808 is an abundant number, since it is smaller than the sum of its proper divisors (8904282912).

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

3685475808 is a wasteful number, since it uses less digits than its factorization.

3685475808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 3685475808 is about 60708.1197864009. The cubic root of 3685475808 is about 1544.6539106030.

The spelling of 3685475808 in words is "three billion, six hundred eighty-five million, four hundred seventy-five thousand, eight hundred eight".