3638815488 has 720 divisors, whose sum is σ = 14103403776. Its totient is φ = 905748480.

The previous prime is 3638815483. The next prime is 3638815511. The reversal of 3638815488 is 8845188363.

3638815488 is a `hidden beast` number, since 36 + 388 + 154 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638815483) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68656870 + ... + 68656922.

Almost surely, 2^3638815488 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 3638815488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051701888).

3638815488 is an abundant number, since it is smaller than the sum of its proper divisors (10464588288).

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

3638815488 is a wasteful number, since it uses less digits than its factorization.

3638815488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 3638815488 is about 60322.5951696377. The cubic root of 3638815488 is about 1538.1074587152.

The spelling of 3638815488 in words is "three billion, six hundred thirty-eight million, eight hundred fifteen thousand, four hundred eighty-eight".