3802240800 has 216 divisors, whose sum is σ = 13454138880. Its totient is φ = 1010419200.

The previous prime is 3802240769. The next prime is 3802240801. The reversal of 3802240800 is 80422083.

It is not an unprimeable number, because it can be changed into a prime (3802240801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2584065 + ... + 2585535.

It is an arithmetic number, because the mean of its divisors is an integer number (62287680).

Almost surely, 2^3802240800 is an apocalyptic number.

3802240800 is a gapful number since it is divisible by the number (30) 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 3802240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727069440).

3802240800 is an abundant number, since it is smaller than the sum of its proper divisors (9651898080).

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

3802240800 is a wasteful number, since it uses less digits than its factorization.

3802240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1840 counting only the distinct ones).

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

The square root of 3802240800 is about 61662.3126390829. The cubic root of 3802240800 is about 1560.7974226880.

Adding to 3802240800 its reverse (80422083), we get a palindrome (3882662883).

The spelling of 3802240800 in words is "three billion, eight hundred two million, two hundred forty thousand, eight hundred".