3014130400 has 72 divisors (see below), whose sum is σ = 7367575320. Its totient is φ = 1204124160.

The previous prime is 3014130391. The next prime is 3014130419. The reversal of 3014130400 is 40314103.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795711 + ... + 799489.

It is an arithmetic number, because the mean of its divisors is an integer number (102327435).

Almost surely, 2^3014130400 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 3014130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683787660).

3014130400 is an abundant number, since it is smaller than the sum of its proper divisors (4353444920).

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

3014130400 is a wasteful number, since it uses less digits than its factorization.

3014130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4783 counting only the distinct ones).

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

The square root of 3014130400 is about 54901.0965282115. The cubic root of 3014130400 is about 1444.5104203045.

Adding to 3014130400 its reverse (40314103), we get a palindrome (3054444503).

The spelling of 3014130400 in words is "three billion, fourteen million, one hundred thirty thousand, four hundred".