3225786144 has 96 divisors (see below), whose sum is σ = 9800017920. Its totient is φ = 909971712.

The previous prime is 3225786131. The next prime is 3225786167. The reversal of 3225786144 is 4416875223.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3225786096 and 3225786105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22707 + ... + 83469.

It is an arithmetic number, because the mean of its divisors is an integer number (102083520).

Almost surely, 2^3225786144 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 3225786144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900008960).

3225786144 is an abundant number, since it is smaller than the sum of its proper divisors (6574231776).

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

3225786144 is a wasteful number, since it uses less digits than its factorization.

3225786144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60862 (or 60854 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 3225786144 is about 56796.0046482145. The cubic root of 3225786144 is about 1477.5602217774.

The spelling of 3225786144 in words is "three billion, two hundred twenty-five million, seven hundred eighty-six thousand, one hundred forty-four".