3972342 has 32 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 1192320.

The previous prime is 3972341. The next prime is 3972343. The reversal of 3972342 is 2432793.

It is an interprime number because it is at equal distance from previous prime (3972341) and next prime (3972343).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 3³ + 9³ + 7⁷ + 2⁷ + 3⁷ + 4¹⁰ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972341) 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, 8958 + ... + 9390.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^3972342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3972342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

3972342 is an abundant number, since it is smaller than the sum of its proper divisors (4777098).

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

3972342 is a wasteful number, since it uses less digits than its factorization.

3972342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588.

The product of its digits is 9072, while the sum is 30.

The square root of 3972342 is about 1993.0735059199. The cubic root of 3972342 is about 158.3733891885.

The spelling of 3972342 in words is "three million, nine hundred seventy-two thousand, three hundred forty-two".