7438000 has 40 divisors (see below), whose sum is σ = 17989920. Its totient is φ = 2974400.

The previous prime is 7437973. The next prime is 7438001. The reversal of 7438000 is 8347.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7438001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141 + ... + 3859.

It is an arithmetic number, because the mean of its divisors is an integer number (449748).

Almost surely, 2^7438000 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 7438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994960).

7438000 is an abundant number, since it is smaller than the sum of its proper divisors (10551920).

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

7438000 is a wasteful number, since it uses less digits than its factorization.

7438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 7438000 is about 2727.2696969680. The cubic root of 7438000 is about 195.2025071343.

The spelling of 7438000 in words is "seven million, four hundred thirty-eight thousand".