3638119680 has 432 divisors, whose sum is σ = 14363228880. Its totient is φ = 842268672.

The previous prime is 3638119657. The next prime is 3638119721. The reversal of 3638119680 is 869118363.

It is a happy number.

3638119680 is a `hidden beast` number, since 3 + 6 + 381 + 196 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 500327424 + 3137792256 = 22368^2 + 56016^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545206 + ... + 2546634.

It is an arithmetic number, because the mean of its divisors is an integer number (33248215).

Almost surely, 2^3638119680 is an apocalyptic number.

3638119680 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 3638119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181614440).

3638119680 is an abundant number, since it is smaller than the sum of its proper divisors (10725109200).

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

3638119680 is a wasteful number, since it uses less digits than its factorization.

3638119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3638119680 is about 60316.8275027790. The cubic root of 3638119680 is about 1538.0094143835.

The spelling of 3638119680 in words is "three billion, six hundred thirty-eight million, one hundred nineteen thousand, six hundred eighty".