3895706880 has 864 divisors, whose sum is σ = 16159046400. Its totient is φ = 885620736.

The previous prime is 3895706879. The next prime is 3895706921. The reversal of 3895706880 is 886075983.

It is a happy number.

3895706880 is a `hidden beast` number, since 3 + 8 + 9 + 570 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134334706 + ... + 134334734.

It is an arithmetic number, because the mean of its divisors is an integer number (18702600).

Almost surely, 2^3895706880 is an apocalyptic number.

3895706880 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 3895706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8079523200).

3895706880 is an abundant number, since it is smaller than the sum of its proper divisors (12263339520).

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

3895706880 is a wasteful number, since it uses less digits than its factorization.

3895706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 3895706880 is about 62415.5980504873. The cubic root of 3895706880 is about 1573.4831291511.

The spelling of 3895706880 in words is "three billion, eight hundred ninety-five million, seven hundred six thousand, eight hundred eighty".