3834958336000 has 416 divisors, whose sum is σ = 10538443618560. Its totient is φ = 1381515264000.

The previous prime is 3834958335997. The next prime is 3834958336003. The reversal of 3834958336000 is 6338594383.

It is an interprime number because it is at equal distance from previous prime (3834958335997) and next prime (3834958336003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834958336003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 613884877 + ... + 613891123.

It is an arithmetic number, because the mean of its divisors is an integer number (25332797160).

Almost surely, 2^{3834958336000} 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 3834958336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269221809280).

3834958336000 is an abundant number, since it is smaller than the sum of its proper divisors (6703485282560).

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

3834958336000 is a wasteful number, since it uses less digits than its factorization.

3834958336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 3834958336000 in words is "three trillion, eight hundred thirty-four billion, nine hundred fifty-eight million, three hundred thirty-six thousand".