3680810208 has 96 divisors (see below), whose sum is σ = 10795468320. Its totient is φ = 1220106240.

The previous prime is 3680810183. The next prime is 3680810227. The reversal of 3680810208 is 8020180863.

3680810208 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144616 + ... + 168152.

It is an arithmetic number, because the mean of its divisors is an integer number (112452795).

Almost surely, 2^3680810208 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 3680810208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397734160).

3680810208 is an abundant number, since it is smaller than the sum of its proper divisors (7114658112).

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

3680810208 is a wasteful number, since it uses less digits than its factorization.

3680810208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23737 (or 23723 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3680810208 is about 60669.6811265726. The cubic root of 3680810208 is about 1544.0018210758.

The spelling of 3680810208 in words is "three billion, six hundred eighty million, eight hundred ten thousand, two hundred eight".