3134004000000 has 252 divisors, whose sum is σ = 10426182793152. Its totient is φ = 835731200000.

The previous prime is 3134003999953. The next prime is 3134004000053. The reversal of 3134004000000 is 4004313.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11869417 + ... + 12130583.

Almost surely, 2^{3134004000000} is an apocalyptic number.

3134004000000 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 3134004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213091396576).

3134004000000 is an abundant number, since it is smaller than the sum of its proper divisors (7292178793152).

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

3134004000000 is an frugal number, since it uses more digits than its factorization.

3134004000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261216 (or 261177 counting only the distinct ones).

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

Adding to 3134004000000 its reverse (4004313), we get a palindrome (3134008004313).

The spelling of 3134004000000 in words is "three trillion, one hundred thirty-four billion, four million", and thus it is an aban number.