3895850649600 has 4032 divisors, whose sum is σ = 18896760529920. Its totient is φ = 773967052800.

The previous prime is 3895850649599. The next prime is 3895850649739. The reversal of 3895850649600 is 69460585983.

3895850649600 is a `hidden beast` number, since 3 + 8 + 9 + 585 + 0 + 6 + 49 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 105293260782 + ... + 105293260818.

It is an arithmetic number, because the mean of its divisors is an integer number (4686696560).

Almost surely, 2^{3895850649600} is an apocalyptic number.

3895850649600 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 3895850649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9448380264960).

3895850649600 is an abundant number, since it is smaller than the sum of its proper divisors (15000909880320).

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

3895850649600 is a wasteful number, since it uses less digits than its factorization.

3895850649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 3895850649600 in words is "three trillion, eight hundred ninety-five billion, eight hundred fifty million, six hundred forty-nine thousand, six hundred".