3114294912 has 128 divisors (see below), whose sum is σ = 9224064000. Its totient is φ = 1034422272.

The previous prime is 3114294809. The next prime is 3114294941. The reversal of 3114294912 is 2194924113.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3114294912³ (a number of 29 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 1080289 + ... + 1083167.

It is an arithmetic number, because the mean of its divisors is an integer number (72063000).

Almost surely, 2^3114294912 is an apocalyptic number.

3114294912 is a gapful number since it is divisible by the number (32) 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 3114294912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612032000).

3114294912 is an abundant number, since it is smaller than the sum of its proper divisors (6109769088).

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

3114294912 is a wasteful number, since it uses less digits than its factorization.

3114294912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3197 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3114294912 is about 55805.8680785453. The cubic root of 3114294912 is about 1460.3375262674.

The spelling of 3114294912 in words is "three billion, one hundred fourteen million, two hundred ninety-four thousand, nine hundred twelve".