3895990560 has 576 divisors, whose sum is σ = 16999766784. Its totient is φ = 788889600.

The previous prime is 3895990541. The next prime is 3895990573. The reversal of 3895990560 is 650995983.

It is a super-2 number, since 2×3895990560² = 30357484887218227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3895990497 and 3895990506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4545652 + ... + 4546508.

It is an arithmetic number, because the mean of its divisors is an integer number (29513484).

Almost surely, 2^3895990560 is an apocalyptic number.

3895990560 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 3895990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499883392).

3895990560 is an abundant number, since it is smaller than the sum of its proper divisors (13103776224).

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

3895990560 is a wasteful number, since it uses less digits than its factorization.

3895990560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 3895990560 is about 62417.8705179855. The cubic root of 3895990560 is about 1573.5213211809.

The spelling of 3895990560 in words is "three billion, eight hundred ninety-five million, nine hundred ninety thousand, five hundred sixty".