3858525666408 has 256 divisors, whose sum is σ = 12821442048000. Its totient is φ = 940238475264.

The previous prime is 3858525666377. The next prime is 3858525666409. The reversal of 3858525666408 is 8046665258583.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3858525666409) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 297723 + ... + 2793866.

It is an arithmetic number, because the mean of its divisors is an integer number (50083758000).

Almost surely, 2^{3858525666408} is an apocalyptic number.

3858525666408 is a gapful number since it is divisible by the number (38) 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 3858525666408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410721024000).

3858525666408 is an abundant number, since it is smaller than the sum of its proper divisors (8962916381592).

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

3858525666408 is a wasteful number, since it uses less digits than its factorization.

3858525666408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091664 (or 3091660 counting only the distinct ones).

The product of its (nonzero) digits is 331776000, while the sum is 66.

The spelling of 3858525666408 in words is "three trillion, eight hundred fifty-eight billion, five hundred twenty-five million, six hundred sixty-six thousand, four hundred eight".