7344001296 has 160 divisors (see below), whose sum is σ = 22955376000. Its totient is φ = 2239114752.

The previous prime is 7344001237. The next prime is 7344001337. The reversal of 7344001296 is 6921004437.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7344001296.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222606 + ... + 253458.

It is an arithmetic number, because the mean of its divisors is an integer number (143471100).

Almost surely, 2^7344001296 is an apocalyptic number.

7344001296 is a gapful number since it is divisible by the number (76) 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 7344001296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11477688000).

7344001296 is an abundant number, since it is smaller than the sum of its proper divisors (15611374704).

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

7344001296 is a wasteful number, since it uses less digits than its factorization.

7344001296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30918 (or 30906 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7344001296 is about 85697.1487040263. The cubic root of 7344001296 is about 1943.7671951057.

The spelling of 7344001296 in words is "seven billion, three hundred forty-four million, one thousand, two hundred ninety-six".