3201221040 has 160 divisors (see below), whose sum is σ = 10539771840. Its totient is φ = 800980992.

The previous prime is 3201221011. The next prime is 3201221047. The reversal of 3201221040 is 401221023.

It is a super-2 number, since 2×3201221040² = 20495632293877363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3201221047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1586112 + ... + 1588128.

It is an arithmetic number, because the mean of its divisors is an integer number (65873574).

Almost surely, 2^3201221040 is an apocalyptic number.

3201221040 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 3201221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269885920).

3201221040 is an abundant number, since it is smaller than the sum of its proper divisors (7338550800).

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

3201221040 is a wasteful number, since it uses less digits than its factorization.

3201221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3201221040 is about 56579.3340363776. The cubic root of 3201221040 is about 1473.8000068641.

Adding to 3201221040 its reverse (401221023), we get a palindrome (3602442063).

The spelling of 3201221040 in words is "three billion, two hundred one million, two hundred twenty-one thousand, forty".