3134880 has 144 divisors (see below), whose sum is σ = 12265344. Its totient is φ = 714240.

The previous prime is 3134843. The next prime is 3134881. The reversal of 3134880 is 884313.

3134880 is digitally balanced in base 8, 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 (144).

It is a super-2 number, since 2×3134880² = 19654945228800, which contains 22 as substring.

3134880 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (3134881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9925 + ... + 10235.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

Almost surely, 2^3134880 is an apocalyptic number.

3134880 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 3134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672).

3134880 is an abundant number, since it is smaller than the sum of its proper divisors (9130464).

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

3134880 is a wasteful number, since it uses less digits than its factorization.

3134880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3134880 is about 1770.5592336886. The cubic root of 3134880 is about 146.3548010608.

The spelling of 3134880 in words is "three million, one hundred thirty-four thousand, eight hundred eighty".