3445312000 has 320 divisors, whose sum is σ = 9571449888. Its totient is φ = 1228800000.

The previous prime is 3445311983. The next prime is 3445312061. The reversal of 3445312000 is 2135443.

It can be written as a sum of positive squares in 16 ways, for example, as 515471616 + 2929840384 = 22704^2 + 54128^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 34111950 + ... + 34112050.

Almost surely, 2^3445312000 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 3445312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785724944).

3445312000 is an abundant number, since it is smaller than the sum of its proper divisors (6126137888).

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

3445312000 is a wasteful number, since it uses less digits than its factorization.

3445312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3445312000 is about 58696.7801501922. The cubic root of 3445312000 is about 1510.3450814323.

Adding to 3445312000 its reverse (2135443), we get a palindrome (3447447443).

The spelling of 3445312000 in words is "three billion, four hundred forty-five million, three hundred twelve thousand".