3225832960 has 160 divisors (see below), whose sum is σ = 9360204480. Its totient is φ = 1040842752.

The previous prime is 3225832933. The next prime is 3225832963. The reversal of 3225832960 is 692385223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225832963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299346 + ... + 309934.

It is an arithmetic number, because the mean of its divisors is an integer number (58501278).

Almost surely, 2^3225832960 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 3225832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680102240).

3225832960 is an abundant number, since it is smaller than the sum of its proper divisors (6134371520).

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

3225832960 is a wasteful number, since it uses less digits than its factorization.

3225832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10636 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 3225832960 is about 56796.4167883855. The cubic root of 3225832960 is about 1477.5673697120.

The spelling of 3225832960 in words is "three billion, two hundred twenty-five million, eight hundred thirty-two thousand, nine hundred sixty".