3112034688 has 768 divisors, whose sum is σ = 12055910400. Its totient is φ = 783433728.

The previous prime is 3112034683. The next prime is 3112034701. The reversal of 3112034688 is 8864302113.

3112034688 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (3112034683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66213481 + ... + 66213527.

It is an arithmetic number, because the mean of its divisors is an integer number (15697800).

Almost surely, 2^3112034688 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 3112034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027955200).

3112034688 is an abundant number, since it is smaller than the sum of its proper divisors (8943875712).

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

3112034688 is a wasteful number, since it uses less digits than its factorization.

3112034688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

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

The square root of 3112034688 is about 55785.6136293220. The cubic root of 3112034688 is about 1459.9841569557.

The spelling of 3112034688 in words is "three billion, one hundred twelve million, thirty-four thousand, six hundred eighty-eight".