3134034400 has 72 divisors (see below), whose sum is σ = 8743971600. Its totient is φ = 1074524160.

The previous prime is 3134034389. The next prime is 3134034451. The reversal of 3134034400 is 44304313.

3134034400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274225 + ... + 285424.

It is an arithmetic number, because the mean of its divisors is an integer number (121444050).

Almost surely, 2^3134034400 is an apocalyptic number.

It is an amenable number.

3134034400 is an abundant number, since it is smaller than the sum of its proper divisors (5609937200).

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

3134034400 is a wasteful number, since it uses less digits than its factorization.

3134034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559676 (or 559663 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3134034400 is about 55982.4472491155. The cubic root of 3134034400 is about 1463.4164066880.

Adding to 3134034400 its reverse (44304313), we get a palindrome (3178338713).

The spelling of 3134034400 in words is "three billion, one hundred thirty-four million, thirty-four thousand, four hundred".