3121792249320 has 512 divisors, whose sum is σ = 10772310528000. Its totient is φ = 803779200000.

The previous prime is 3121792249319. The next prime is 3121792249327. The reversal of 3121792249320 is 239422971213.

It is a happy number.

3121792249320 is a `hidden beast` number, since 3 + 1 + 217 + 92 + 24 + 9 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3121792249327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1174046151 + ... + 1174048809.

It is an arithmetic number, because the mean of its divisors is an integer number (21039669000).

Almost surely, 2^{3121792249320} is an apocalyptic number.

3121792249320 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 3121792249320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386155264000).

3121792249320 is an abundant number, since it is smaller than the sum of its proper divisors (7650518278680).

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

3121792249320 is a wasteful number, since it uses less digits than its factorization.

3121792249320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3121792249320 in words is "three trillion, one hundred twenty-one billion, seven hundred ninety-two million, two hundred forty-nine thousand, three hundred twenty".