3163112640 has 224 divisors, whose sum is σ = 11201400000. Its totient is φ = 840278016.

The previous prime is 3163112629. The next prime is 3163112657. The reversal of 3163112640 is 462113613.

3163112640 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 1 + 12 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3014836 + ... + 3015884.

It is an arithmetic number, because the mean of its divisors is an integer number (50006250).

Almost surely, 2^3163112640 is an apocalyptic number.

3163112640 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 3163112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600700000).

3163112640 is an abundant number, since it is smaller than the sum of its proper divisors (8038287360).

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

3163112640 is a wasteful number, since it uses less digits than its factorization.

3163112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3163112640 is about 56241.5561662371. The cubic root of 3163112640 is about 1467.9284440221.

The spelling of 3163112640 in words is "three billion, one hundred sixty-three million, one hundred twelve thousand, six hundred forty".