3669271732224 has 504 divisors, whose sum is σ = 12755533808160. Its totient is φ = 1012183990272.

The previous prime is 3669271732223. The next prime is 3669271732261. The reversal of 3669271732224 is 4222371729663.

It is a happy number.

3669271732224 is a `hidden beast` number, since 366 + 9 + 27 + 1 + 7 + 32 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3669271732224² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3669271732223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104749977 + ... + 104784999.

Almost surely, 2^{3669271732224} 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 3669271732224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377766904080).

3669271732224 is an abundant number, since it is smaller than the sum of its proper divisors (9086262075936).

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

3669271732224 is a wasteful number, since it uses less digits than its factorization.

3669271732224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35098 (or 35064 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 3669271732224 in words is "three trillion, six hundred sixty-nine billion, two hundred seventy-one million, seven hundred thirty-two thousand, two hundred twenty-four".