3121329960 has 192 divisors, whose sum is σ = 11616508800. Its totient is φ = 712032768.

The previous prime is 3121329919. The next prime is 3121329973. The reversal of 3121329960 is 699231213.

It is a happy number.

3121329960 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 47 ways as a sum of consecutive naturals, for example, 1785807 + ... + 1787553.

It is an arithmetic number, because the mean of its divisors is an integer number (60502650).

Almost surely, 2^3121329960 is an apocalyptic number.

3121329960 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 3121329960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808254400).

3121329960 is an abundant number, since it is smaller than the sum of its proper divisors (8495178840).

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

3121329960 is a wasteful number, since it uses less digits than its factorization.

3121329960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3121329960 is about 55868.8639583803. The cubic root of 3121329960 is about 1461.4363109315.

It can be divided in two parts, 3121329 and 960, that added together give a square (3122289 = 1767²).

The spelling of 3121329960 in words is "three billion, one hundred twenty-one million, three hundred twenty-nine thousand, nine hundred sixty".