3001342400 has 168 divisors, whose sum is σ = 8494471200. Its totient is φ = 1022423040.

The previous prime is 3001342397. The next prime is 3001342411. The reversal of 3001342400 is 42431003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1936826 + ... + 1938374.

Almost surely, 2^3001342400 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 3001342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247235600).

3001342400 is an abundant number, since it is smaller than the sum of its proper divisors (5493128800).

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

3001342400 is a wasteful number, since it uses less digits than its factorization.

3001342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3001342400 is about 54784.5087593199. The cubic root of 3001342400 is about 1442.4646577650.

Adding to 3001342400 its reverse (42431003), we get a palindrome (3043773403).

The spelling of 3001342400 in words is "three billion, one million, three hundred forty-two thousand, four hundred".