3221161020 has 960 divisors, whose sum is σ = 14050713600. Its totient is φ = 609638400.

The previous prime is 3221160997. The next prime is 3221161033. The reversal of 3221161020 is 201611223.

3221161020 is a `hidden beast` number, since 3 + 22 + 11 + 610 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3221160984 and 3221161002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 103908405 + ... + 103908435.

It is an arithmetic number, because the mean of its divisors is an integer number (14636160).

Almost surely, 2^3221161020 is an apocalyptic number.

3221161020 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 3221161020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025356800).

3221161020 is an abundant number, since it is smaller than the sum of its proper divisors (10829552580).

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

3221161020 is a wasteful number, since it uses less digits than its factorization.

3221161020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3221161020 is about 56755.2730589855. The cubic root of 3221161020 is about 1476.8537099707.

Adding to 3221161020 its reverse (201611223), we get a palindrome (3422772243).

The spelling of 3221161020 in words is "three billion, two hundred twenty-one million, one hundred sixty-one thousand, twenty".