3638269889280 has 2304 divisors, whose sum is σ = 15576261120000. Its totient is φ = 795073314816.

The previous prime is 3638269889279. The next prime is 3638269889329. The reversal of 3638269889280 is 829889628363.

3638269889280 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 269 + 8 + 89 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3638269889199 and 3638269889208.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24417918646 + ... + 24417918794.

It is an arithmetic number, because the mean of its divisors is an integer number (6760530000).

Almost surely, 2^{3638269889280} is an apocalyptic number.

3638269889280 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 3638269889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788130560000).

3638269889280 is an abundant number, since it is smaller than the sum of its proper divisors (11937991230720).

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

3638269889280 is a wasteful number, since it uses less digits than its factorization.

3638269889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 3638269889280 in words is "three trillion, six hundred thirty-eight billion, two hundred sixty-nine million, eight hundred eighty-nine thousand, two hundred eighty".