3034244004000 has 384 divisors, whose sum is σ = 10871338593024. Its totient is φ = 733708800000.

The previous prime is 3034244003993. The next prime is 3034244004007. The reversal of 3034244004000 is 4004424303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3034244003993) and next prime (3034244004007).

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

It is not an unprimeable number, because it can be changed into a prime (3034244004007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52375050 + ... + 52432950.

It is an arithmetic number, because the mean of its divisors is an integer number (28310777586).

Almost surely, 2^{3034244004000} is an apocalyptic number.

3034244004000 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 3034244004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435669296512).

3034244004000 is an abundant number, since it is smaller than the sum of its proper divisors (7837094589024).

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

3034244004000 is a wasteful number, since it uses less digits than its factorization.

3034244004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58337 (or 58319 counting only the distinct ones).

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

Adding to 3034244004000 its reverse (4004424303), we get a palindrome (3038248428303).

The spelling of 3034244004000 in words is "three trillion, thirty-four billion, two hundred forty-four million, four thousand".