3638214468 has 384 divisors, whose sum is σ = 11902464000. Its totient is φ = 949822848.

The previous prime is 3638214457. The next prime is 3638214473. The reversal of 3638214468 is 8644128363.

3638214468 is a `hidden beast` number, since 3 + 638 + 2 + 1 + 4 + 4 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61664623 + ... + 61664681.

It is an arithmetic number, because the mean of its divisors is an integer number (30996000).

Almost surely, 2^3638214468 is an apocalyptic number.

3638214468 is a gapful number since it is divisible by the number (38) 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 3638214468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951232000).

3638214468 is an abundant number, since it is smaller than the sum of its proper divisors (8264249532).

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

3638214468 is a wasteful number, since it uses less digits than its factorization.

3638214468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

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

The square root of 3638214468 is about 60317.6132485363. The cubic root of 3638214468 is about 1538.0227714272.

The spelling of 3638214468 in words is "three billion, six hundred thirty-eight million, two hundred fourteen thousand, four hundred sixty-eight".