7349248704 has 112 divisors (see below), whose sum is σ = 22346245376. Its totient is φ = 2088115200.

The previous prime is 7349248703. The next prime is 7349248717. The reversal of 7349248704 is 4078429437.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×7349248704² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7349248703) 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 15 ways as a sum of consecutive naturals, for example, 228159 + ... + 258369.

It is an arithmetic number, because the mean of its divisors is an integer number (199520048).

Almost surely, 2^7349248704 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 7349248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173122688).

7349248704 is an abundant number, since it is smaller than the sum of its proper divisors (14996996672).

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

7349248704 is a wasteful number, since it uses less digits than its factorization.

7349248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30414 (or 30404 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 7349248704 is about 85727.7592381838. The cubic root of 7349248704 is about 1944.2300359464.

The spelling of 7349248704 in words is "seven billion, three hundred forty-nine million, two hundred forty-eight thousand, seven hundred four".