4348780800 has 864 divisors, whose sum is σ = 18735467520. Its totient is φ = 862617600.

The previous prime is 4348780783. The next prime is 4348780801. The reversal of 4348780800 is 80878434.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4348780801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33196735 + ... + 33196865.

Almost surely, 2^4348780800 is an apocalyptic number.

4348780800 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 4348780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9367733760).

4348780800 is an abundant number, since it is smaller than the sum of its proper divisors (14386686720).

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

4348780800 is a wasteful number, since it uses less digits than its factorization.

4348780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 4348780800 is about 65945.2864122979. The cubic root of 4348780800 is about 1632.2593782282.

The spelling of 4348780800 in words is "four billion, three hundred forty-eight million, seven hundred eighty thousand, eight hundred".