7438332 has 48 divisors (see below), whose sum is σ = 19458432. Its totient is φ = 2191680.

The previous prime is 7438331. The next prime is 7438337. The reversal of 7438332 is 2338347.

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

It is a d-powerful number, because it can be written as 7 + 4⁷ + 3⁷ + 8⁷ + 3¹² + 3¹⁴ + 2¹³ .

It is a self number, because there is not a number n which added to its sum of digits gives 7438332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7438331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4123 + ... + 5645.

It is an arithmetic number, because the mean of its divisors is an integer number (405384).

Almost surely, 2^7438332 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 7438332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729216).

7438332 is an abundant number, since it is smaller than the sum of its proper divisors (12020100).

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

7438332 is a wasteful number, since it uses less digits than its factorization.

7438332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1576 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 7438332 is about 2727.3305630231. The cubic root of 7438332 is about 195.2054114217.

The spelling of 7438332 in words is "seven million, four hundred thirty-eight thousand, three hundred thirty-two".