3106978560 has 432 divisors, whose sum is σ = 12749458176. Its totient is φ = 709668864.

The previous prime is 3106978543. The next prime is 3106978583. The reversal of 3106978560 is 658796013.

It is a happy number.

3106978560 is a `hidden beast` number, since 3 + 10 + 6 + 9 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176567 + ... + 2177993.

Almost surely, 2^3106978560 is an apocalyptic number.

3106978560 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 3106978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374729088).

3106978560 is an abundant number, since it is smaller than the sum of its proper divisors (9642479616).

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

3106978560 is an equidigital number, since it uses as much as digits as its factorization.

3106978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3106978560 is about 55740.2777172845. The cubic root of 3106978560 is about 1459.1930487896.

The spelling of 3106978560 in words is "three billion, one hundred six million, nine hundred seventy-eight thousand, five hundred sixty".