3001134400 has 168 divisors, whose sum is σ = 8254471680. Its totient is φ = 1064448000.

The previous prime is 3001134347. The next prime is 3001134403. The reversal of 3001134400 is 44311003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001134403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719521 + ... + 723679.

It is an arithmetic number, because the mean of its divisors is an integer number (49133760).

Almost surely, 2^3001134400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127235840).

3001134400 is an abundant number, since it is smaller than the sum of its proper divisors (5253337280).

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

3001134400 is a wasteful number, since it uses less digits than its factorization.

3001134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3001134400 is about 54782.6103795721. The cubic root of 3001134400 is about 1442.4313349448.

Adding to 3001134400 its reverse (44311003), we get a palindrome (3045445403).

The spelling of 3001134400 in words is "three billion, one million, one hundred thirty-four thousand, four hundred".