3801658721728 has 168 divisors, whose sum is σ = 8940599340000. Its totient is φ = 1598869020672.

The previous prime is 3801658721723. The next prime is 3801658721753. The reversal of 3801658721728 is 8271278561083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801658721723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45514948 + ... + 45598396.

Almost surely, 2^{3801658721728} 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 3801658721728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470299670000).

3801658721728 is an abundant number, since it is smaller than the sum of its proper divisors (5138940618272).

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

3801658721728 is a wasteful number, since it uses less digits than its factorization.

3801658721728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83747 (or 83730 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 58.

The spelling of 3801658721728 in words is "three trillion, eight hundred one billion, six hundred fifty-eight million, seven hundred twenty-one thousand, seven hundred twenty-eight".