4344346440 has 256 divisors, whose sum is σ = 16639603200. Its totient is φ = 987614208.

The previous prime is 4344346439. The next prime is 4344346451. The reversal of 4344346440 is 446434434.

4344346440 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 3 + 4 + 644 + 0 = 666.

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 = 4344346395 and 4344346404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1487862 + ... + 1490778.

It is an arithmetic number, because the mean of its divisors is an integer number (64998450).

Almost surely, 2^4344346440 is an apocalyptic number.

4344346440 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 4344346440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319801600).

4344346440 is an abundant number, since it is smaller than the sum of its proper divisors (12295256760).

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

4344346440 is a wasteful number, since it uses less digits than its factorization.

4344346440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The square root of 4344346440 is about 65911.6563287557. The cubic root of 4344346440 is about 1631.7043960713.

The spelling of 4344346440 in words is "four billion, three hundred forty-four million, three hundred forty-six thousand, four hundred forty".