3442312000 has 56 divisors (see below), whose sum is σ = 8524905480. Its totient is φ = 1376921600.

The previous prime is 3442311953. The next prime is 3442312009. The reversal of 3442312000 is 2132443.

It can be written as a sum of positive squares in 4 ways, for example, as 806105664 + 2636206336 = 28392^2 + 51344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442312009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 207145 + ... + 223144.

It is an arithmetic number, because the mean of its divisors is an integer number (152230455).

Almost surely, 2^3442312000 is an apocalyptic number.

It is an amenable number.

3442312000 is an abundant number, since it is smaller than the sum of its proper divisors (5082593480).

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

3442312000 is an equidigital number, since it uses as much as digits as its factorization.

3442312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430316 (or 430296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3442312000 is about 58671.2195203065. The cubic root of 3442312000 is about 1509.9065772647.

Adding to 3442312000 its reverse (2132443), we get a palindrome (3444444443).

The spelling of 3442312000 in words is "three billion, four hundred forty-two million, three hundred twelve thousand".