3134412288 has 480 divisors, whose sum is σ = 11081790720. Its totient is φ = 865935360.

The previous prime is 3134412283. The next prime is 3134412293. The reversal of 3134412288 is 8822144313.

It is a happy number.

3134412288 is a `hidden beast` number, since 31 + 344 + 1 + 2 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (3134412283) and next prime (3134412293).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134412283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51383778 + ... + 51383838.

It is an arithmetic number, because the mean of its divisors is an integer number (23087064).

Almost surely, 2^3134412288 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 3134412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540895360).

3134412288 is an abundant number, since it is smaller than the sum of its proper divisors (7947378432).

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

3134412288 is an frugal number, since it uses more digits than its factorization.

3134412288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3134412288 is about 55985.8222052691. The cubic root of 3134412288 is about 1463.4752217491.

The spelling of 3134412288 in words is "three billion, one hundred thirty-four million, four hundred twelve thousand, two hundred eighty-eight".