3943296 has 128 divisors (see below), whose sum is σ = 13382400. Its totient is φ = 1119744.

The previous prime is 3943283. The next prime is 3943301. The reversal of 3943296 is 6923493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3³ + 9⁴ + 4⁴ + 3¹³ + 2¹⁷ + 9⁶ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3943296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24111 + ... + 24273.

It is an arithmetic number, because the mean of its divisors is an integer number (104550).

Almost surely, 2^3943296 is an apocalyptic number.

3943296 is a gapful number since it is divisible by the number (36) 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 3943296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691200).

3943296 is an abundant number, since it is smaller than the sum of its proper divisors (9439104).

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

3943296 is a wasteful number, since it uses less digits than its factorization.

3943296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3943296 is about 1985.7734009700. The cubic root of 3943296 is about 157.9864326330.

The spelling of 3943296 in words is "three million, nine hundred forty-three thousand, two hundred ninety-six".