3945312 has 144 divisors (see below), whose sum is σ = 13628160. Its totient is φ = 1057536.

The previous prime is 3945301. The next prime is 3945313. The reversal of 3945312 is 2135493.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38253 + ... + 38355.

It is an arithmetic number, because the mean of its divisors is an integer number (94640).

Almost surely, 2^3945312 is an apocalyptic number.

3945312 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 3945312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814080).

3945312 is an abundant number, since it is smaller than the sum of its proper divisors (9682848).

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

3945312 is a wasteful number, since it uses less digits than its factorization.

3945312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 3945312 is about 1986.2809468955. The cubic root of 3945312 is about 158.0133514328.

The spelling of 3945312 in words is "three million, nine hundred forty-five thousand, three hundred twelve".