3134064960 has 560 divisors, whose sum is σ = 12268029312. Its totient is φ = 754790400.

The previous prime is 3134064959. The next prime is 3134065013. The reversal of 3134064960 is 694604313.

3134064960 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 0 + 649 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 23924095 + ... + 23924225.

Almost surely, 2^3134064960 is an apocalyptic number.

3134064960 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 3134064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134014656).

3134064960 is an abundant number, since it is smaller than the sum of its proper divisors (9133964352).

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

3134064960 is a wasteful number, since it uses less digits than its factorization.

3134064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3134064960 is about 55982.7201911447. The cubic root of 3134064960 is about 1463.4211632684.

The spelling of 3134064960 in words is "three billion, one hundred thirty-four million, sixty-four thousand, nine hundred sixty".