3849157672960 has 204 divisors, whose sum is σ = 9459227871972. Its totient is φ = 1503620235264.

The previous prime is 3849157672951. The next prime is 3849157673059. The reversal of 3849157672960 is 692767519483.

It can be written as a sum of positive squares in 2 ways, for example, as 1574804127744 + 2274353545216 = 1254912^2 + 1508096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 605877144 + ... + 605883496.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3849157672960 = 7698315345920, but 3⋅3849157672960 = 11547473018880 is not.

Almost surely, 2^{3849157672960} 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 3849157672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729613935986).

3849157672960 is an abundant number, since it is smaller than the sum of its proper divisors (5610070199012).

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

3849157672960 is an frugal number, since it uses more digits than its factorization.

3849157672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 67.

The spelling of 3849157672960 in words is "three trillion, eight hundred forty-nine billion, one hundred fifty-seven million, six hundred seventy-two thousand, nine hundred sixty".