3890410560 has 504 divisors, whose sum is σ = 14847707160. Its totient is φ = 967458816.

The previous prime is 3890410507. The next prime is 3890410591. The reversal of 3890410560 is 650140983.

3890410560 is a `hidden beast` number, since 3 + 8 + 90 + 4 + 1 + 0 + 560 = 666.

3890410560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1135420416 + 2754990144 = 33696^2 + 52488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35691786 + ... + 35691894.

Almost surely, 2^3890410560 is an apocalyptic number.

3890410560 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 3890410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423853580).

3890410560 is an abundant number, since it is smaller than the sum of its proper divisors (10957296600).

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

3890410560 is an equidigital number, since it uses as much as digits as its factorization.

3890410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3890410560 is about 62373.1557643190. The cubic root of 3890410560 is about 1572.7697413205.

The spelling of 3890410560 in words is "three billion, eight hundred ninety million, four hundred ten thousand, five hundred sixty".