3973296 has 80 divisors (see below), whose sum is σ = 11070720. Its totient is φ = 1224960.

The previous prime is 3973289. The next prime is 3973297. The reversal of 3973296 is 6923793.

It is a super-2 number, since 2×3973296² = 31574162207232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3973297) 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, 65106 + ... + 65166.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

Almost surely, 2^3973296 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 3973296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535360).

3973296 is an abundant number, since it is smaller than the sum of its proper divisors (7097424).

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

3973296 is a wasteful number, since it uses less digits than its factorization.

3973296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 3973296 is about 1993.3128204073. The cubic root of 3973296 is about 158.3860665226.

The spelling of 3973296 in words is "three million, nine hundred seventy-three thousand, two hundred ninety-six".