3134400 has 84 divisors (see below), whose sum is σ = 10299192. Its totient is φ = 834560.

The previous prime is 3134389. The next prime is 3134413. The reversal of 3134400 is 44313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3134400.

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, 4474 + ... + 5126.

Almost surely, 2^3134400 is an apocalyptic number.

3134400 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 3134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149596).

3134400 is an abundant number, since it is smaller than the sum of its proper divisors (7164792).

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

3134400 is a wasteful number, since it uses less digits than its factorization.

3134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3134400 is about 1770.4236781065. The cubic root of 3134400 is about 146.3473309301.

Adding to 3134400 its reverse (44313), we get a palindrome (3178713).

The spelling of 3134400 in words is "three million, one hundred thirty-four thousand, four hundred".