3220541640 has 384 divisors, whose sum is σ = 11582352000. Its totient is φ = 794949120.

The previous prime is 3220541617. The next prime is 3220541647. The reversal of 3220541640 is 461450223.

3220541640 is a `hidden beast` number, since 3 + 2 + 205 + 416 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3220541647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30098467 + ... + 30098573.

It is an arithmetic number, because the mean of its divisors is an integer number (30162375).

Almost surely, 2^3220541640 is an apocalyptic number.

3220541640 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 3220541640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791176000).

3220541640 is an abundant number, since it is smaller than the sum of its proper divisors (8361810360).

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

3220541640 is a wasteful number, since it uses less digits than its factorization.

3220541640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3220541640 is about 56749.8162111561. The cubic root of 3220541640 is about 1476.7590451091.

Adding to 3220541640 its reverse (461450223), we get a palindrome (3681991863).

The spelling of 3220541640 in words is "three billion, two hundred twenty million, five hundred forty-one thousand, six hundred forty".