3857497758576 has 480 divisors, whose sum is σ = 13536575270400. Its totient is φ = 996226283520.

The previous prime is 3857497758551. The next prime is 3857497758593. The reversal of 3857497758576 is 6758577947583.

3857497758576 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 497 + 7 + 58 + 5 + 76 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3857497758495 and 3857497758504.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1901180730 + ... + 1901182758.

It is an arithmetic number, because the mean of its divisors is an integer number (28201198480).

Almost surely, 2^{3857497758576} is an apocalyptic number.

3857497758576 is a gapful number since it is divisible by the number (36) 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 3857497758576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768287635200).

3857497758576 is an abundant number, since it is smaller than the sum of its proper divisors (9679077511824).

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

3857497758576 is a wasteful number, since it uses less digits than its factorization.

3857497758576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2948 counting only the distinct ones).

The product of its digits is 12446784000, while the sum is 81.

The spelling of 3857497758576 in words is "three trillion, eight hundred fifty-seven billion, four hundred ninety-seven million, seven hundred fifty-eight thousand, five hundred seventy-six".