3680188704 has 36 divisors (see below), whose sum is σ = 10465537446. Its totient is φ = 1226729472.

The previous prime is 3680188651. The next prime is 3680188727. The reversal of 3680188704 is 4078810863.

3680188704 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 can be written as a sum of positive squares in only one way, i.e., 3592803600 + 87385104 = 59940^2 + 9348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3680188704.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6388929 + ... + 6389504.

Almost surely, 2^3680188704 is an apocalyptic number.

It is an amenable number.

3680188704 is an abundant number, since it is smaller than the sum of its proper divisors (6785348742).

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

3680188704 is a wasteful number, since it uses less digits than its factorization.

3680188704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12778449 (or 12778438 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3680188704 is about 60664.5588791347. The cubic root of 3680188704 is about 1543.9149147275.

The spelling of 3680188704 in words is "three billion, six hundred eighty million, one hundred eighty-eight thousand, seven hundred four".