3012033888 has 144 divisors (see below), whose sum is σ = 9107017920. Its totient is φ = 941027328.

The previous prime is 3012033887. The next prime is 3012033907. The reversal of 3012033888 is 8883302103.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012033883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315881 + ... + 1318167.

It is an arithmetic number, because the mean of its divisors is an integer number (63243180).

Almost surely, 2^3012033888 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 3012033888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553508960).

3012033888 is an abundant number, since it is smaller than the sum of its proper divisors (6094984032).

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

3012033888 is a wasteful number, since it uses less digits than its factorization.

3012033888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3012033888 is about 54881.9996720236. Note that the first 3 decimals coincide. The cubic root of 3012033888 is about 1444.1754275146.

Adding to 3012033888 its sum of digits (36), we get a square (3012033924 = 54882²).

The spelling of 3012033888 in words is "three billion, twelve million, thirty-three thousand, eight hundred eighty-eight".