3221891136 has 168 divisors, whose sum is σ = 9890744760. Its totient is φ = 999161856.

The previous prime is 3221891117. The next prime is 3221891173. The reversal of 3221891136 is 6311981223.

It can be written as a sum of positive squares in 4 ways, for example, as 57153600 + 3164737536 = 7560^2 + 56256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3221891136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869640 + ... + 873336.

Almost surely, 2^3221891136 is an apocalyptic number.

3221891136 is a gapful number since it is divisible by the number (36) 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 3221891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945372380).

3221891136 is an abundant number, since it is smaller than the sum of its proper divisors (6668853624).

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

3221891136 is a wasteful number, since it uses less digits than its factorization.

3221891136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3808 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3221891136 is about 56761.7048369761. The cubic root of 3221891136 is about 1476.9652839300.

The spelling of 3221891136 in words is "three billion, two hundred twenty-one million, eight hundred ninety-one thousand, one hundred thirty-six".