3638530080 has 144 divisors (see below), whose sum is σ = 12956448960. Its totient is φ = 928080384.

The previous prime is 3638530069. The next prime is 3638530081. The reversal of 3638530080 is 800358363.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3638530080² = 26477802286129612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3638530081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21810 + ... + 88049.

It is an arithmetic number, because the mean of its divisors is an integer number (89975340).

Almost surely, 2^3638530080 is an apocalyptic number.

3638530080 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 3638530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478224480).

3638530080 is an abundant number, since it is smaller than the sum of its proper divisors (9317918880).

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

3638530080 is a wasteful number, since it uses less digits than its factorization.

3638530080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109903 (or 109892 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3638530080 is about 60320.2294425345. The cubic root of 3638530080 is about 1538.0672441955.

The spelling of 3638530080 in words is "three billion, six hundred thirty-eight million, five hundred thirty thousand, eighty".