3031986929664 has 1088 divisors, whose sum is σ = 10823235010560. Its totient is φ = 731287388160.

The previous prime is 3031986929639. The next prime is 3031986929669. The reversal of 3031986929664 is 4669296891303.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3031986929595 and 3031986929604.

It is not an unprimeable number, because it can be changed into a prime (3031986929669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23873912769 + ... + 23873912895.

Almost surely, 2^{3031986929664} 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 3031986929664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411617505280).

3031986929664 is an abundant number, since it is smaller than the sum of its proper divisors (7791248080896).

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

3031986929664 is a wasteful number, since it uses less digits than its factorization.

3031986929664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 66.

The spelling of 3031986929664 in words is "three trillion, thirty-one billion, nine hundred eighty-six million, nine hundred twenty-nine thousand, six hundred sixty-four".