3504112000 has 128 divisors (see below), whose sum is σ = 8750008800. Its totient is φ = 1395558400.

The previous prime is 3504111979. The next prime is 3504112009. The reversal of 3504112000 is 2114053.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3504112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6223719 + ... + 6224281.

Almost surely, 2^3504112000 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 3504112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375004400).

3504112000 is an abundant number, since it is smaller than the sum of its proper divisors (5245896800).

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

3504112000 is an equidigital number, since it uses as much as digits as its factorization.

3504112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 3504112000 is about 59195.5403725652. The cubic root of 3504112000 is about 1518.8888462763. Note that the first 4 decimals are identical.

Adding to 3504112000 its reverse (2114053), we get a palindrome (3506226053).

The spelling of 3504112000 in words is "three billion, five hundred four million, one hundred twelve thousand".