3638763888 has 80 divisors (see below), whose sum is σ = 9640752000. Its totient is φ = 1182004992.

The previous prime is 3638763881. The next prime is 3638763901. The reversal of 3638763888 is 8883678363.

It is a happy number.

It is a super-2 number, since 2×3638763888² = 26481205265225753088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638763881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028170 + ... + 1031702.

It is an arithmetic number, because the mean of its divisors is an integer number (120509400).

Almost surely, 2^3638763888 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 3638763888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820376000).

3638763888 is an abundant number, since it is smaller than the sum of its proper divisors (6001988112).

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

3638763888 is a wasteful number, since it uses less digits than its factorization.

3638763888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4080 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The square root of 3638763888 is about 60322.1674676897. The cubic root of 3638763888 is about 1538.1001883346.

The spelling of 3638763888 in words is "three billion, six hundred thirty-eight million, seven hundred sixty-three thousand, eight hundred eighty-eight".