7341984 has 144 divisors (see below), whose sum is σ = 23528232. Its totient is φ = 2156544.

The previous prime is 7341979. The next prime is 7341989. The reversal of 7341984 is 4891437.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7341979) and next prime (7341989).

It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 435600 = 2628^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (24192) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (7341989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138502 + ... + 138554.

Almost surely, 2^7341984 is an apocalyptic number.

7341984 is a gapful number since it is divisible by the number (74) 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 7341984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764116).

7341984 is an abundant number, since it is smaller than the sum of its proper divisors (16186248).

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

7341984 is a wasteful number, since it uses less digits than its factorization.

7341984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 7341984 is about 2709.6095659707. The cubic root of 7341984 is about 194.3589203449.

The spelling of 7341984 in words is "seven million, three hundred forty-one thousand, nine hundred eighty-four".