3114546960 has 320 divisors, whose sum is σ = 11439267840. Its totient is φ = 686223360.

The previous prime is 3114546949. The next prime is 3114546973. The reversal of 3114546960 is 696454113.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7094421 + ... + 7094859.

It is an arithmetic number, because the mean of its divisors is an integer number (35747712).

Almost surely, 2^3114546960 is an apocalyptic number.

3114546960 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 3114546960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719633920).

3114546960 is an abundant number, since it is smaller than the sum of its proper divisors (8324720880).

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

3114546960 is a wasteful number, since it uses less digits than its factorization.

3114546960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3114546960 is about 55808.1262899947. The cubic root of 3114546960 is about 1460.3769215113.

The spelling of 3114546960 in words is "three billion, one hundred fourteen million, five hundred forty-six thousand, nine hundred sixty".