3145017818880 has 1728 divisors, whose sum is σ = 13499426304000. Its totient is φ = 700352593920.

The previous prime is 3145017818879. The next prime is 3145017818881. The reversal of 3145017818880 is 888187105413.

3145017818880 is a `hidden beast` number, since 3 + 1 + 450 + 1 + 7 + 8 + 188 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3145017818879) and next prime (3145017818881).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3145017818880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145017818881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4374155161 + ... + 4374155879.

It is an arithmetic number, because the mean of its divisors is an integer number (7812168000).

Almost surely, 2^{3145017818880} is an apocalyptic number.

3145017818880 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 3145017818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749713152000).

3145017818880 is an abundant number, since it is smaller than the sum of its proper divisors (10354408485120).

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

3145017818880 is an frugal number, since it uses more digits than its factorization.

3145017818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 3145017818880 in words is "three trillion, one hundred forty-five billion, seventeen million, eight hundred eighteen thousand, eight hundred eighty".