3895744638870 has 960 divisors, whose sum is σ = 12911525452800. Its totient is φ = 812360102400.

The previous prime is 3895744638829. The next prime is 3895744638881. The reversal of 3895744638870 is 788364475983.

3895744638870 is a `hidden beast` number, since 3 + 8 + 9 + 574 + 46 + 3 + 8 + 8 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21763936441 + ... + 21763936619.

It is an arithmetic number, because the mean of its divisors is an integer number (13449505680).

Almost surely, 2^{3895744638870} is an apocalyptic number.

3895744638870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3895744638870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455762726400).

3895744638870 is an abundant number, since it is smaller than the sum of its proper divisors (9015780813930).

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

3895744638870 is a wasteful number, since it uses less digits than its factorization.

3895744638870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 3895744638870 in words is "three trillion, eight hundred ninety-five billion, seven hundred forty-four million, six hundred thirty-eight thousand, eight hundred seventy".