3688011360 has 576 divisors, whose sum is σ = 14673125376. Its totient is φ = 834662400.

The previous prime is 3688011347. The next prime is 3688011389. The reversal of 3688011360 is 631108863.

3688011360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 19308865 + ... + 19309055.

It is an arithmetic number, because the mean of its divisors is an integer number (25474176).

Almost surely, 2^3688011360 is an apocalyptic number.

3688011360 is a gapful number since it is divisible by the number (30) 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 3688011360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336562688).

3688011360 is an abundant number, since it is smaller than the sum of its proper divisors (10985114016).

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

3688011360 is a wasteful number, since it uses less digits than its factorization.

3688011360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3688011360 is about 60728.9993331028. Note that the first 3 decimals coincide. The cubic root of 3688011360 is about 1545.0080622949.

The spelling of 3688011360 in words is "three billion, six hundred eighty-eight million, eleven thousand, three hundred sixty".