3134400000 has 240 divisors, whose sum is σ = 10453112208. Its totient is φ = 834560000.

The previous prime is 3134399993. The next prime is 3134400001. The reversal of 3134400000 is 44313.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4799674 + ... + 4800326.

Almost surely, 2^3134400000 is an apocalyptic number.

3134400000 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 3134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226556104).

3134400000 is an abundant number, since it is smaller than the sum of its proper divisors (7318712208).

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

3134400000 is an frugal number, since it uses more digits than its factorization.

3134400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 663 counting only the distinct ones).

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

The square root of 3134400000 is about 55985.7124630919. The cubic root of 3134400000 is about 1463.4733093005.

Adding to 3134400000 its reverse (44313), we get a palindrome (3134444313).

The spelling of 3134400000 in words is "three billion, one hundred thirty-four million, four hundred thousand".