3134234400 has 288 divisors, whose sum is σ = 11199783168. Its totient is φ = 755020800.

The previous prime is 3134234371. The next prime is 3134234407. The reversal of 3134234400 is 44324313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3134234407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5992539 + ... + 5993061.

It is an arithmetic number, because the mean of its divisors is an integer number (38888136).

Almost surely, 2^3134234400 is an apocalyptic number.

3134234400 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 3134234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599891584).

3134234400 is an abundant number, since it is smaller than the sum of its proper divisors (8065548768).

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

3134234400 is a wasteful number, since it uses less digits than its factorization.

3134234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3134234400 is about 55984.2334947974. The cubic root of 3134234400 is about 1463.4475355801.

Adding to 3134234400 its reverse (44324313), we get a palindrome (3178558713).

The spelling of 3134234400 in words is "three billion, one hundred thirty-four million, two hundred thirty-four thousand, four hundred".