3160563840 has 1024 divisors, whose sum is σ = 14276736000. Its totient is φ = 644087808.

The previous prime is 3160563829. The next prime is 3160563851. The reversal of 3160563840 is 483650613.

3160563840 is a `hidden beast` number, since 3 + 1 + 605 + 6 + 3 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3160563829) and next prime (3160563851).

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 = 3160563795 and 3160563804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59633254 + ... + 59633306.

It is an arithmetic number, because the mean of its divisors is an integer number (13942125).

Almost surely, 2^3160563840 is an apocalyptic number.

3160563840 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 3160563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138368000).

3160563840 is an abundant number, since it is smaller than the sum of its proper divisors (11116172160).

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

3160563840 is a wasteful number, since it uses less digits than its factorization.

3160563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3160563840 is about 56218.8921982637. The cubic root of 3160563840 is about 1467.5340580870.

The spelling of 3160563840 in words is "three billion, one hundred sixty million, five hundred sixty-three thousand, eight hundred forty".