3850558560 has 288 divisors, whose sum is σ = 13780664352. Its totient is φ = 1015234560.

The previous prime is 3850558559. The next prime is 3850558589. The reversal of 3850558560 is 658550583.

3850558560 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 5 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3770850 + ... + 3771870.

It is an arithmetic number, because the mean of its divisors is an integer number (47849529).

Almost surely, 2^3850558560 is an apocalyptic number.

3850558560 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 3850558560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890332176).

3850558560 is an abundant number, since it is smaller than the sum of its proper divisors (9930105792).

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

3850558560 is a wasteful number, since it uses less digits than its factorization.

3850558560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 3850558560 is about 62052.8690714620. The cubic root of 3850558560 is about 1567.3809987267.

The spelling of 3850558560 in words is "three billion, eight hundred fifty million, five hundred fifty-eight thousand, five hundred sixty".