3494412288 has 288 divisors, whose sum is σ = 10985107770. Its totient is φ = 1069547520.

The previous prime is 3494412281. The next prime is 3494412367. The reversal of 3494412288 is 8822144943.

It can be written as a sum of positive squares in 3 ways, for example, as 3015327744 + 479084544 = 54912^2 + 21888^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (3494412281) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85229548 + ... + 85229588.

Almost surely, 2^3494412288 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 3494412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492553885).

3494412288 is an abundant number, since it is smaller than the sum of its proper divisors (7490695482).

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

3494412288 is an equidigital number, since it uses as much as digits as its factorization.

3494412288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 63 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3494412288 is about 59113.5541817611. The cubic root of 3494412288 is about 1517.4860753580.

The spelling of 3494412288 in words is "three billion, four hundred ninety-four million, four hundred twelve thousand, two hundred eighty-eight".