3240638348220 has 576 divisors, whose sum is σ = 12319173135360. Its totient is φ = 671345750016.

The previous prime is 3240638348093. The next prime is 3240638348239. The reversal of 3240638348220 is 228438360423.

3240638348220 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 6 + 383 + 48 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 271427011 + ... + 271438949.

It is an arithmetic number, because the mean of its divisors is an integer number (21387453360).

Almost surely, 2^{3240638348220} is an apocalyptic number.

3240638348220 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 3240638348220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159586567680).

3240638348220 is an abundant number, since it is smaller than the sum of its proper divisors (9078534787140).

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

3240638348220 is a wasteful number, since it uses less digits than its factorization.

3240638348220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12274 (or 12269 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3240638348220 in words is "three trillion, two hundred forty billion, six hundred thirty-eight million, three hundred forty-eight thousand, two hundred twenty".