3999828352000 has 352 divisors, whose sum is σ = 10996399237824. Its totient is φ = 1442488320000.

The previous prime is 3999828351989. The next prime is 3999828352021. The reversal of 3999828352000 is 2538289993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71524050 + ... + 71579950.

It is an arithmetic number, because the mean of its divisors is an integer number (31239770562).

Almost surely, 2^{3999828352000} 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 3999828352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498199618912).

3999828352000 is an abundant number, since it is smaller than the sum of its proper divisors (6996570885824).

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

3999828352000 is a wasteful number, since it uses less digits than its factorization.

3999828352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55992 (or 55964 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 58.

The spelling of 3999828352000 in words is "three trillion, nine hundred ninety-nine billion, eight hundred twenty-eight million, three hundred fifty-two thousand".