3973312 has 56 divisors (see below), whose sum is σ = 9245600. Its totient is φ = 1693440.

The previous prime is 3973309. The next prime is 3973331. The reversal of 3973312 is 2133793.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21862 + ... + 22042.

It is an arithmetic number, because the mean of its divisors is an integer number (165100).

Almost surely, 2^3973312 is an apocalyptic number.

3973312 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 3973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622800).

3973312 is an abundant number, since it is smaller than the sum of its proper divisors (5272288).

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

3973312 is an equidigital number, since it uses as much as digits as its factorization.

3973312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its digits is 3402, while the sum is 28.

The square root of 3973312 is about 1993.3168338225. The cubic root of 3973312 is about 158.3862791230.

The spelling of 3973312 in words is "three million, nine hundred seventy-three thousand, three hundred twelve".