3638241468 has 192 divisors, whose sum is σ = 10431590400. Its totient is φ = 1091543040.

The previous prime is 3638241457. The next prime is 3638241479. The reversal of 3638241468 is 8641428363.

3638241468 is a `hidden beast` number, since 3 + 638 + 2 + 4 + 1 + 4 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3638241457) and next prime (3638241479).

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 63 ways as a sum of consecutive naturals, for example, 5520523 + ... + 5521181.

It is an arithmetic number, because the mean of its divisors is an integer number (54331200).

Almost surely, 2^3638241468 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 3638241468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215795200).

3638241468 is an abundant number, since it is smaller than the sum of its proper divisors (6793348932).

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

3638241468 is a wasteful number, since it uses less digits than its factorization.

3638241468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 809 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3638241468 is about 60317.8370633430. The cubic root of 3638241468 is about 1538.0265760876.

The spelling of 3638241468 in words is "three billion, six hundred thirty-eight million, two hundred forty-one thousand, four hundred sixty-eight".