3112683840 has 672 divisors, whose sum is σ = 13123468800. Its totient is φ = 675569664.

The previous prime is 3112683829. The next prime is 3112683841. The reversal of 3112683840 is 483862113.

3112683840 is a `hidden beast` number, since 3 + 11 + 268 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 3112683795 and 3112683804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112683841) 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, 22720252 + ... + 22720388.

Almost surely, 2^3112683840 is an apocalyptic number.

3112683840 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 3112683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561734400).

3112683840 is an abundant number, since it is smaller than the sum of its proper divisors (10010784960).

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

3112683840 is a wasteful number, since it uses less digits than its factorization.

3112683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

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

The square root of 3112683840 is about 55791.4316002018. The cubic root of 3112683840 is about 1460.0856645801.

The spelling of 3112683840 in words is "three billion, one hundred twelve million, six hundred eighty-three thousand, eight hundred forty".