3134377360 has 160 divisors (see below), whose sum is σ = 7713792000. Its totient is φ = 1183311360.

The previous prime is 3134377343. The next prime is 3134377361. The reversal of 3134377360 is 637734313.

3134377360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3134377361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15750541 + ... + 15750739.

It is an arithmetic number, because the mean of its divisors is an integer number (48211200).

Almost surely, 2^3134377360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134377360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856896000).

3134377360 is an abundant number, since it is smaller than the sum of its proper divisors (4579414640).

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

3134377360 is a wasteful number, since it uses less digits than its factorization.

3134377360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 37.

The square root of 3134377360 is about 55985.5102682828. The cubic root of 3134377360 is about 1463.4697857005.

The spelling of 3134377360 in words is "three billion, one hundred thirty-four million, three hundred seventy-seven thousand, three hundred sixty".