3001412400 has 240 divisors, whose sum is σ = 11154119424. Its totient is φ = 675671040.

The previous prime is 3001412389. The next prime is 3001412413. The reversal of 3001412400 is 42141003.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3001412400.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 560134 + ... + 565466.

Almost surely, 2^3001412400 is an apocalyptic number.

3001412400 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 3001412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577059712).

3001412400 is an abundant number, since it is smaller than the sum of its proper divisors (8152707024).

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

3001412400 is a wasteful number, since it uses less digits than its factorization.

3001412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3001412400 is about 54785.1476223255. The cubic root of 3001412400 is about 1442.4758718294.

Adding to 3001412400 its reverse (42141003), we get a palindrome (3043553403).

The spelling of 3001412400 in words is "three billion, one million, four hundred twelve thousand, four hundred".