3895171338240 has 2912 divisors, whose sum is σ = 17904380046336. Its totient is φ = 791166320640.

The previous prime is 3895171338203. The next prime is 3895171338281. The reversal of 3895171338240 is 428331715983.

3895171338240 is a `hidden beast` number, since 3 + 8 + 9 + 517 + 1 + 3 + 3 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

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

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 223 ways as a sum of consecutive naturals, for example, 63855267810 + ... + 63855267870.

Almost surely, 2^{3895171338240} is an apocalyptic number.

3895171338240 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 3895171338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8952190023168).

3895171338240 is an abundant number, since it is smaller than the sum of its proper divisors (14009208708096).

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

3895171338240 is an equidigital number, since it uses as much as digits as its factorization.

3895171338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3895171338240 in words is "three trillion, eight hundred ninety-five billion, one hundred seventy-one million, three hundred thirty-eight thousand, two hundred forty".