3145987482624 has 704 divisors, whose sum is σ = 10939561024000. Its totient is φ = 892705701888.

The previous prime is 3145987482607. The next prime is 3145987482643. The reversal of 3145987482624 is 4262847895413.

3145987482624 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 98 + 7 + 482 + 62 + 4 = 666.

3145987482624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1488871392 + ... + 1488873504.

Almost surely, 2^{3145987482624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145987482624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469780512000).

3145987482624 is an abundant number, since it is smaller than the sum of its proper divisors (7793573541376).

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

3145987482624 is a wasteful number, since it uses less digits than its factorization.

3145987482624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2282 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 3145987482624 in words is "three trillion, one hundred forty-five billion, nine hundred eighty-seven million, four hundred eighty-two thousand, six hundred twenty-four".