3145316106240 has 2448 divisors, whose sum is σ = 14859299070720. Its totient is φ = 619173642240.

The previous prime is 3145316106197. The next prime is 3145316106241. The reversal of 3145316106240 is 426016135413.

3145316106240 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 3 + 16 + 10 + 624 + 0 = 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 = 3145316106195 and 3145316106204.

It is not an unprimeable number, because it can be changed into a prime (3145316106241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165542952951 + ... + 165542952969.

Almost surely, 2^{3145316106240} is an apocalyptic number.

3145316106240 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 3145316106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429649535360).

3145316106240 is an abundant number, since it is smaller than the sum of its proper divisors (11713982964480).

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

3145316106240 is an frugal number, since it uses more digits than its factorization.

3145316106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3145316106240 in words is "three trillion, one hundred forty-five billion, three hundred sixteen million, one hundred six thousand, two hundred forty".