3213641772 has 144 divisors (see below), whose sum is σ = 9070981920. Its totient is φ = 951091200.

The previous prime is 3213641749. The next prime is 3213641777. The reversal of 3213641772 is 2771463123.

3213641772 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 641 + 7 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3213641777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4178604 + ... + 4179372.

It is an arithmetic number, because the mean of its divisors is an integer number (62992930).

Almost surely, 2^3213641772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213641772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535490960).

3213641772 is an abundant number, since it is smaller than the sum of its proper divisors (5857340148).

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

3213641772 is a wasteful number, since it uses less digits than its factorization.

3213641772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1019 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3213641772 is about 56688.9916297688. The cubic root of 3213641772 is about 1475.7036607357.

The spelling of 3213641772 in words is "three billion, two hundred thirteen million, six hundred forty-one thousand, seven hundred seventy-two".