7349888 has 64 divisors (see below), whose sum is σ = 18049920. Its totient is φ = 2903040.

The previous prime is 7349879. The next prime is 7349893. The reversal of 7349888 is 8889437.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7349888² = 108041707225088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11333 + ... + 11963.

It is an arithmetic number, because the mean of its divisors is an integer number (282030).

Almost surely, 2^7349888 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 7349888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024960).

7349888 is an abundant number, since it is smaller than the sum of its proper divisors (10700032).

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

7349888 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (7349887) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (665).

7349888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 7349888 is about 2711.0676863553. The cubic root of 7349888 is about 194.4286409167.

The spelling of 7349888 in words is "seven million, three hundred forty-nine thousand, eight hundred eighty-eight".