3895156194048 has 1728 divisors, whose sum is σ = 14844424089600. Its totient is φ = 999946321920.

The previous prime is 3895156193977. The next prime is 3895156194053. The reversal of 3895156194048 is 8404916515983.

3895156194048 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 1 + 5 + 619 + 4 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 24809911986 + ... + 24809912142.

It is an arithmetic number, because the mean of its divisors is an integer number (8590523200).

Almost surely, 2^{3895156194048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3895156194048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422212044800).

3895156194048 is an abundant number, since it is smaller than the sum of its proper divisors (10949267895552).

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

3895156194048 is a wasteful number, since it uses less digits than its factorization.

3895156194048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 3895156194048 in words is "three trillion, eight hundred ninety-five billion, one hundred fifty-six million, one hundred ninety-four thousand, forty-eight".