3688483392 has 196 divisors, whose sum is σ = 11973281616. Its totient is φ = 1117566720.

The previous prime is 3688483363. The next prime is 3688483411. The reversal of 3688483392 is 2933848863.

It is a happy number.

3688483392 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 Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 509623 + ... + 516809.

Almost surely, 2^3688483392 is an apocalyptic number.

3688483392 is a gapful number since it is divisible by the number (32) 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 3688483392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986640808).

3688483392 is an abundant number, since it is smaller than the sum of its proper divisors (8284798224).

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

3688483392 is an equidigital number, since it uses as much as digits as its factorization.

3688483392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7203 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3688483392 is about 60732.8855892753. The cubic root of 3688483392 is about 1545.0739751553.

The spelling of 3688483392 in words is "three billion, six hundred eighty-eight million, four hundred eighty-three thousand, three hundred ninety-two".