3215712 has 96 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 967680.

The previous prime is 3215711. The next prime is 3215713. The reversal of 3215712 is 2175123.

It is an interprime number because it is at equal distance from previous prime (3215711) and next prime (3215713).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3215711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 74763 + ... + 74805.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

Almost surely, 2^3215712 is an apocalyptic number.

3215712 is a gapful number since it is divisible by the number (32) 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 3215712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3215712 is an abundant number, since it is smaller than the sum of its proper divisors (6098208).

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

3215712 is a wasteful number, since it uses less digits than its factorization.

3215712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 3215712 is about 1793.2406419664. The cubic root of 3215712 is about 147.6020475476.

The spelling of 3215712 in words is "three million, two hundred fifteen thousand, seven hundred twelve".