3134174400 has 1008 divisors, whose sum is σ = 14150522880. Its totient is φ = 641433600.

The previous prime is 3134174399. The next prime is 3134174437. The reversal of 3134174400 is 44714313.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 53121571 + ... + 53121629.

Almost surely, 2^3134174400 is an apocalyptic number.

3134174400 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 3134174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075261440).

3134174400 is an abundant number, since it is smaller than the sum of its proper divisors (11016348480).

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

3134174400 is a wasteful number, since it uses less digits than its factorization.

3134174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3134174400 is about 55983.6976270771. The cubic root of 3134174400 is about 1463.4381970515.

Adding to 3134174400 its reverse (44714313), we get a palindrome (3178888713).

The spelling of 3134174400 in words is "three billion, one hundred thirty-four million, one hundred seventy-four thousand, four hundred".