4348000800 has 864 divisors, whose sum is σ = 18631057536. Its totient is φ = 940032000.

The previous prime is 4348000763. The next prime is 4348000807. The reversal of 4348000800 is 80008434.

It is a super-2 number, since 2×4348000800² = 37810221913601280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4348000807) 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 143 ways as a sum of consecutive naturals, for example, 42213549 + ... + 42213651.

It is an arithmetic number, because the mean of its divisors is an integer number (21563724).

Almost surely, 2^4348000800 is an apocalyptic number.

4348000800 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 4348000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9315528768).

4348000800 is an abundant number, since it is smaller than the sum of its proper divisors (14283056736).

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

4348000800 is a wasteful number, since it uses less digits than its factorization.

4348000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4348000800 is about 65939.3721535169. The cubic root of 4348000800 is about 1632.1617847110.

The spelling of 4348000800 in words is "four billion, three hundred forty-eight million, eight hundred", and thus it is an aban number.