3673895808 has 128 divisors (see below), whose sum is σ = 10989757440. Its totient is φ = 1077350400.

The previous prime is 3673895779. The next prime is 3673895809. The reversal of 3673895808 is 8085983763.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673895809) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 116916 + ... + 144972.

It is an arithmetic number, because the mean of its divisors is an integer number (85857480).

Almost surely, 2^3673895808 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 3673895808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494878720).

3673895808 is an abundant number, since it is smaller than the sum of its proper divisors (7315861632).

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

3673895808 is a wasteful number, since it uses less digits than its factorization.

3673895808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28116 (or 28104 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The square root of 3673895808 is about 60612.6703585975. The cubic root of 3673895808 is about 1543.0344128667.

The spelling of 3673895808 in words is "three billion, six hundred seventy-three million, eight hundred ninety-five thousand, eight hundred eight".