3111474960 has 960 divisors, whose sum is σ = 13370572800. Its totient is φ = 638668800.

The previous prime is 3111474959. The next prime is 3111474973. The reversal of 3111474960 is 694741113.

3111474960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100370145 + ... + 100370175.

It is an arithmetic number, because the mean of its divisors is an integer number (13927680).

Almost surely, 2^3111474960 is an apocalyptic number.

3111474960 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 3111474960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685286400).

3111474960 is an abundant number, since it is smaller than the sum of its proper divisors (10259097840).

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

3111474960 is a wasteful number, since it uses less digits than its factorization.

3111474960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3111474960 is about 55780.5966264256. The cubic root of 3111474960 is about 1459.8966211909.

The spelling of 3111474960 in words is "three billion, one hundred eleven million, four hundred seventy-four thousand, nine hundred sixty".