7344906240 has 224 divisors, whose sum is σ = 26862877440. Its totient is φ = 1678639104.

The previous prime is 7344906203. The next prime is 7344906269. The reversal of 7344906240 is 426094437.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×7344906240³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855891 + ... + 864429.

It is an arithmetic number, because the mean of its divisors is an integer number (119923560).

Almost surely, 2^7344906240 is an apocalyptic number.

7344906240 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 7344906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431438720).

7344906240 is an abundant number, since it is smaller than the sum of its proper divisors (19517971200).

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

7344906240 is an equidigital number, since it uses as much as digits as its factorization.

7344906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8580 (or 8556 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 7344906240 is about 85702.4284370052. The cubic root of 7344906240 is about 1943.8470302503.

The spelling of 7344906240 in words is "seven billion, three hundred forty-four million, nine hundred six thousand, two hundred forty".