4344308640 has 360 divisors, whose sum is σ = 17837545572. Its totient is φ = 992839680.

The previous prime is 4344308629. The next prime is 4344308651. The reversal of 4344308640 is 468034434.

4344308640 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 3 + 0 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4344308629) and next prime (4344308651).

It can be written as a sum of positive squares in 2 ways, for example, as 4325955984 + 18352656 = 65772^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4344308595 and 4344308604.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 631620 + ... + 638460.

Almost surely, 2^4344308640 is an apocalyptic number.

4344308640 is a gapful number since it is divisible by the number (40) 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 4344308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918772786).

4344308640 is an abundant number, since it is smaller than the sum of its proper divisors (13493236932).

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

4344308640 is a wasteful number, since it uses less digits than its factorization.

4344308640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4344308640 is about 65911.3695806725. The cubic root of 4344308640 is about 1631.6996635907.

The spelling of 4344308640 in words is "four billion, three hundred forty-four million, three hundred eight thousand, six hundred forty".