3129284206720 has 256 divisors, whose sum is σ = 8774640576000. Its totient is φ = 1044959625216.

The previous prime is 3129284206709. The next prime is 3129284206721. The reversal of 3129284206720 is 276024829213.

It is not an unprimeable number, because it can be changed into a prime (3129284206721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32481181 + ... + 32577379.

It is an arithmetic number, because the mean of its divisors is an integer number (34275939750).

Almost surely, 2^{3129284206720} 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 3129284206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387320288000).

3129284206720 is an abundant number, since it is smaller than the sum of its proper divisors (5645356369280).

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

3129284206720 is a wasteful number, since it uses less digits than its factorization.

3129284206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96415 (or 96403 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 3129284206720 in words is "three trillion, one hundred twenty-nine billion, two hundred eighty-four million, two hundred six thousand, seven hundred twenty".