3134349120 has 224 divisors, whose sum is σ = 11638775808. Its totient is φ = 699697152.

The previous prime is 3134349091. The next prime is 3134349131. The reversal of 3134349120 is 219434313.

3134349120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283537 + ... + 294383.

Almost surely, 2^3134349120 is an apocalyptic number.

3134349120 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 3134349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819387904).

3134349120 is an abundant number, since it is smaller than the sum of its proper divisors (8504426688).

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

3134349120 is a wasteful number, since it uses less digits than its factorization.

3134349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10917 (or 10907 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3134349120 is about 55985.2580595999. The cubic root of 3134349120 is about 1463.4653905149.

The spelling of 3134349120 in words is "three billion, one hundred thirty-four million, three hundred forty-nine thousand, one hundred twenty".