3121960320 has 160 divisors (see below), whose sum is σ = 11149269120. Its totient is φ = 832508928.

The previous prime is 3121960313. The next prime is 3121960367. The reversal of 3121960320 is 230691213.

3121960320 is a `hidden beast` number, since 31 + 2 + 1 + 9 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 21729 + ... + 81951.

It is an arithmetic number, because the mean of its divisors is an integer number (69682932).

Almost surely, 2^3121960320 is an apocalyptic number.

3121960320 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 3121960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574634560).

3121960320 is an abundant number, since it is smaller than the sum of its proper divisors (8027308800).

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

3121960320 is an equidigital number, since it uses as much as digits as its factorization.

3121960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60254 (or 60233 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3121960320 is about 55874.5050984794. The cubic root of 3121960320 is about 1461.5346844877.

The spelling of 3121960320 in words is "three billion, one hundred twenty-one million, nine hundred sixty thousand, three hundred twenty".