3121860960 has 192 divisors, whose sum is σ = 11569521600. Its totient is φ = 783507456.

The previous prime is 3121860941. The next prime is 3121861019. The reversal of 3121860960 is 690681213.

3121860960 is a `hidden beast` number, since 31 + 2 + 18 + 609 + 6 + 0 = 666.

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

It is a congruent number.

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, 52186 + ... + 94694.

It is an arithmetic number, because the mean of its divisors is an integer number (60257925).

Almost surely, 2^3121860960 is an apocalyptic number.

3121860960 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 3121860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784760800).

3121860960 is an abundant number, since it is smaller than the sum of its proper divisors (8447660640).

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

3121860960 is a wasteful number, since it uses less digits than its factorization.

3121860960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42550 (or 42536 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3121860960 is about 55873.6159560127. The cubic root of 3121860960 is about 1461.5191793123.

The spelling of 3121860960 in words is "three billion, one hundred twenty-one million, eight hundred sixty thousand, nine hundred sixty".