3688411376 has 80 divisors (see below), whose sum is σ = 8144478720. Its totient is φ = 1605246720.

The previous prime is 3688411361. The next prime is 3688411451. The reversal of 3688411376 is 6731148863.

It is a self number, because there is not a number n which added to its sum of digits gives 3688411376.

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 15 ways as a sum of consecutive naturals, for example, 334235 + ... + 345093.

It is an arithmetic number, because the mean of its divisors is an integer number (101805984).

Almost surely, 2^3688411376 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 3688411376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072239360).

3688411376 is an abundant number, since it is smaller than the sum of its proper divisors (4456067344).

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

3688411376 is a wasteful number, since it uses less digits than its factorization.

3688411376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10974 (or 10968 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 3688411376 is about 60732.2926950729. The cubic root of 3688411376 is about 1545.0639194622.

The spelling of 3688411376 in words is "three billion, six hundred eighty-eight million, four hundred eleven thousand, three hundred seventy-six".