3031312148640 has 192 divisors, whose sum is σ = 10610405809920. Its totient is φ = 808287943680.

The previous prime is 3031312148611. The next prime is 3031312148647. The reversal of 3031312148640 is 468412131303.

3031312148640 is a `hidden beast` number, since 3 + 0 + 3 + 1 + 3 + 1 + 2 + 1 + 4 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3031312148595 and 3031312148604.

It is not an unprimeable number, because it can be changed into a prime (3031312148647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96091270 + ... + 96122810.

It is an arithmetic number, because the mean of its divisors is an integer number (55262530260).

Almost surely, 2^{3031312148640} is an apocalyptic number.

3031312148640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3031312148640 is an abundant number, since it is smaller than the sum of its proper divisors (7579093661280).

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

3031312148640 is a wasteful number, since it uses less digits than its factorization.

3031312148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53812 (or 53798 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 3031312148640 its reverse (468412131303), we get a palindrome (3499724279943).

The spelling of 3031312148640 in words is "three trillion, thirty-one billion, three hundred twelve million, one hundred forty-eight thousand, six hundred forty".