3440234002200 has 384 divisors, whose sum is σ = 11190055219200. Its totient is φ = 872663616000.

The previous prime is 3440234002199. The next prime is 3440234002273. The reversal of 3440234002200 is 22004320443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2608213141 + ... + 2608214459.

It is an arithmetic number, because the mean of its divisors is an integer number (29140768800).

Almost surely, 2^{3440234002200} is an apocalyptic number.

3440234002200 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 3440234002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595027609600).

3440234002200 is an abundant number, since it is smaller than the sum of its proper divisors (7749821217000).

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

3440234002200 is a wasteful number, since it uses less digits than its factorization.

3440234002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 3440234002200 its reverse (22004320443), we get a palindrome (3462238322643).

The spelling of 3440234002200 in words is "three trillion, four hundred forty billion, two hundred thirty-four million, two thousand, two hundred".