3145533672960 has 960 divisors, whose sum is σ = 13528568401920. Its totient is φ = 659146014720.

The previous prime is 3145533672907. The next prime is 3145533673031. The reversal of 3145533672960 is 692763355413.

3145533672960 is a `hidden beast` number, since 3 + 1 + 4 + 553 + 3 + 6 + 7 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 3145533672897 and 3145533672906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94977364 + ... + 95010476.

It is an arithmetic number, because the mean of its divisors is an integer number (14092258752).

Almost surely, 2^{3145533672960} is an apocalyptic number.

3145533672960 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 3145533672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764284200960).

3145533672960 is an abundant number, since it is smaller than the sum of its proper divisors (10383034728960).

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

3145533672960 is a wasteful number, since it uses less digits than its factorization.

3145533672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33199 (or 33180 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 3145533672960 in words is "three trillion, one hundred forty-five billion, five hundred thirty-three million, six hundred seventy-two thousand, nine hundred sixty".