3857411911680 has 1040 divisors, whose sum is σ = 14986454639904. Its totient is φ = 945322721280.

The previous prime is 3857411911597. The next prime is 3857411911699. The reversal of 3857411911680 is 861191147583.

3857411911680 is a `hidden beast` number, since 3 + 8 + 57 + 411 + 91 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1212639690 + ... + 1212642870.

Almost surely, 2^{3857411911680} is an apocalyptic number.

3857411911680 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 3857411911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493227319952).

3857411911680 is an abundant number, since it is smaller than the sum of its proper divisors (11129042728224).

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

3857411911680 is a wasteful number, since it uses less digits than its factorization.

3857411911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 3857411911680 in words is "three trillion, eight hundred fifty-seven billion, four hundred eleven million, nine hundred eleven thousand, six hundred eighty".