7338240 has 324 divisors, whose sum is σ = 31806684. Its totient is φ = 1548288.

The previous prime is 7338217. The next prime is 7338241. The reversal of 7338240 is 428337.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 5531904 = 1344^2 + 2352^2 .

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7338241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564474 + ... + 564486.

Almost surely, 2^7338240 is an apocalyptic number.

7338240 is a gapful number since it is divisible by the number (70) 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 7338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903342).

7338240 is an abundant number, since it is smaller than the sum of its proper divisors (24468444).

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

7338240 is a wasteful number, since it uses less digits than its factorization.

7338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7338240 is about 2708.9186034283. The cubic root of 7338240 is about 194.3258773452.

Subtracting from 7338240 its reverse (428337), we obtain a triangular number (6909903 = T₃₇₁₇).

The spelling of 7338240 in words is "seven million, three hundred thirty-eight thousand, two hundred forty".