3857359680000 has 1200 divisors, whose sum is σ = 14302236663000. Its totient is φ = 1000243200000.

The previous prime is 3857359679981. The next prime is 3857359680007. The reversal of 3857359680000 is 869537583.

It is a happy number.

3857359680000 is a `hidden beast` number, since 3 + 8 + 573 + 5 + 9 + 68 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 1859230423296 + 1998129256704 = 1363536^2 + 1413552^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is not an unprimeable number, because it can be changed into a prime (3857359680007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25888319926 + ... + 25888320074.

Almost surely, 2^{3857359680000} is an apocalyptic number.

3857359680000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3857359680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151118331500).

3857359680000 is an abundant number, since it is smaller than the sum of its proper divisors (10444876983000).

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

3857359680000 is a wasteful number, since it uses less digits than its factorization.

3857359680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3857359680000 in words is "three trillion, eight hundred fifty-seven billion, three hundred fifty-nine million, six hundred eighty thousand".