4348684800 has 240 divisors, whose sum is σ = 15963055680. Its totient is φ = 1159557120.

The previous prime is 4348684783. The next prime is 4348684807. The reversal of 4348684800 is 84868434.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4348684800² = 37822118979502080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4348684807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339309 + ... + 351891.

It is an arithmetic number, because the mean of its divisors is an integer number (66512732).

Almost surely, 2^4348684800 is an apocalyptic number.

4348684800 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 4348684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7981527840).

4348684800 is an abundant number, since it is smaller than the sum of its proper divisors (11614370880).

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

4348684800 is a wasteful number, since it uses less digits than its factorization.

4348684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4348684800 is about 65944.5585321488. The cubic root of 4348684800 is about 1632.2473673482.

The spelling of 4348684800 in words is "four billion, three hundred forty-eight million, six hundred eighty-four thousand, eight hundred".