3145132801824 has 96 divisors (see below), whose sum is σ = 9414051413760. Its totient is φ = 910807683072.

The previous prime is 3145132801813. The next prime is 3145132801829. The reversal of 3145132801824 is 4281082315413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3145132801824³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3145132801829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74100504 + ... + 74142935.

It is an arithmetic number, because the mean of its divisors is an integer number (98063035560).

Almost surely, 2^{3145132801824} is an apocalyptic number.

3145132801824 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3145132801824 is an abundant number, since it is smaller than the sum of its proper divisors (6268918611936).

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

3145132801824 is a wasteful number, since it uses less digits than its factorization.

3145132801824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148243482 (or 148243474 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 3145132801824 in words is "three trillion, one hundred forty-five billion, one hundred thirty-two million, eight hundred one thousand, eight hundred twenty-four".