3134784000 has 320 divisors, whose sum is σ = 10800915840. Its totient is φ = 805683200.

The previous prime is 3134783987. The next prime is 3134784001. The reversal of 3134784000 is 4874313.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3134784001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5567719 + ... + 5568281.

It is an arithmetic number, because the mean of its divisors is an integer number (33752862).

Almost surely, 2^3134784000 is an apocalyptic number.

3134784000 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 3134784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400457920).

3134784000 is an abundant number, since it is smaller than the sum of its proper divisors (7666131840).

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

3134784000 is an equidigital number, since it uses as much as digits as its factorization.

3134784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3134784000 is about 55989.1418044606. The cubic root of 3134784000 is about 1463.5330709564.

The spelling of 3134784000 in words is "three billion, one hundred thirty-four million, seven hundred eighty-four thousand".