3112665776640 has 2160 divisors, whose sum is σ = 13729917389760. Its totient is φ = 647958528000.

The previous prime is 3112665776629. The next prime is 3112665776641. The reversal of 3112665776640 is 466775662113.

3112665776640 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 6 + 6 + 577 + 6 + 64 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3112665776641) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20613680565 + ... + 20613680715.

It is an arithmetic number, because the mean of its divisors is an integer number (6356443236).

Almost surely, 2^{3112665776640} is an apocalyptic number.

3112665776640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112665776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864958694880).

3112665776640 is an abundant number, since it is smaller than the sum of its proper divisors (10617251613120).

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

3112665776640 is a wasteful number, since it uses less digits than its factorization.

3112665776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3112665776640 in words is "three trillion, one hundred twelve billion, six hundred sixty-five million, seven hundred seventy-six thousand, six hundred forty".