3688090704 has 120 divisors (see below), whose sum is σ = 11333649600. Its totient is φ = 1157027328.

The previous prime is 3688090691. The next prime is 3688090727. The reversal of 3688090704 is 4070908863.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3688090704.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38197 + ... + 93995.

It is an arithmetic number, because the mean of its divisors is an integer number (94447080).

Almost surely, 2^3688090704 is an apocalyptic number.

3688090704 is a gapful number since it is divisible by the number (34) 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 3688090704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666824800).

3688090704 is an abundant number, since it is smaller than the sum of its proper divisors (7645558896).

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

3688090704 is a wasteful number, since it uses less digits than its factorization.

3688090704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55839 (or 55821 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3688090704 is about 60729.6525924527. The cubic root of 3688090704 is about 1545.0191420006.

The spelling of 3688090704 in words is "three billion, six hundred eighty-eight million, ninety thousand, seven hundred four".