3134042400 has 144 divisors (see below), whose sum is σ = 10738375200. Its totient is φ = 791746560.

The previous prime is 3134042389. The next prime is 3134042449. The reversal of 3134042400 is 42404313.

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, 11236 + ... + 79964.

It is an arithmetic number, because the mean of its divisors is an integer number (74572050).

Almost surely, 2^3134042400 is an apocalyptic number.

3134042400 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 3134042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369187600).

3134042400 is an abundant number, since it is smaller than the sum of its proper divisors (7604332800).

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

3134042400 is a wasteful number, since it uses less digits than its factorization.

3134042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68771 (or 68758 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3134042400 is about 55982.5187000371. The cubic root of 3134042400 is about 1463.4176518691.

Adding to 3134042400 its reverse (42404313), we get a palindrome (3176446713).

The spelling of 3134042400 in words is "three billion, one hundred thirty-four million, forty-two thousand, four hundred".