3895944640 has 224 divisors, whose sum is σ = 11060582400. Its totient is φ = 1279303680.

The previous prime is 3895944629. The next prime is 3895944649. The reversal of 3895944640 is 464495983.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3895944649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5418201 + ... + 5418919.

It is an arithmetic number, because the mean of its divisors is an integer number (49377600).

Almost surely, 2^3895944640 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 3895944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530291200).

3895944640 is an abundant number, since it is smaller than the sum of its proper divisors (7164637760).

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

3895944640 is a wasteful number, since it uses less digits than its factorization.

3895944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The square root of 3895944640 is about 62417.5026735290. The cubic root of 3895944640 is about 1573.5151390661.

The spelling of 3895944640 in words is "three billion, eight hundred ninety-five million, nine hundred forty-four thousand, six hundred forty".