3215309440 has 256 divisors, whose sum is σ = 9116352000. Its totient is φ = 1083801600.

The previous prime is 3215309423. The next prime is 3215309441. The reversal of 3215309440 is 449035123.

It is a super-2 number, since 2×3215309440² = 20676429589906227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3215309441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21293365 + ... + 21293515.

It is an arithmetic number, because the mean of its divisors is an integer number (35610750).

Almost surely, 2^3215309440 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 3215309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558176000).

3215309440 is an abundant number, since it is smaller than the sum of its proper divisors (5901042560).

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

3215309440 is an equidigital number, since it uses as much as digits as its factorization.

3215309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 3215309440 is about 56703.6986447974. The cubic root of 3215309440 is about 1475.9588808643.

The spelling of 3215309440 in words is "three billion, two hundred fifteen million, three hundred nine thousand, four hundred forty".