3134609280 has 640 divisors, whose sum is σ = 12796185600. Its totient is φ = 723824640.

The previous prime is 3134609273. The next prime is 3134609339. The reversal of 3134609280 is 829064313.

3134609280 is a `hidden beast` number, since 31 + 3 + 460 + 92 + 80 = 666.

3134609280 is digitally balanced in base 2, because in such base 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 (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13115401 + ... + 13115639.

It is an arithmetic number, because the mean of its divisors is an integer number (19994040).

Almost surely, 2^3134609280 is an apocalyptic number.

3134609280 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 3134609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398092800).

3134609280 is an abundant number, since it is smaller than the sum of its proper divisors (9661576320).

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

3134609280 is a wasteful number, since it uses less digits than its factorization.

3134609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3134609280 is about 55987.5814801818. The cubic root of 3134609280 is about 1463.5058800081.

The spelling of 3134609280 in words is "three billion, one hundred thirty-four million, six hundred nine thousand, two hundred eighty".