3858370560 has 468 divisors, whose sum is σ = 14785377516. Its totient is φ = 929955840.

The previous prime is 3858370519. The next prime is 3858370601. The reversal of 3858370560 is 650738583.

3858370560 is a `hidden beast` number, since 3 + 8 + 5 + 83 + 7 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3858370519) and next prime (3858370601).

It can be written as a sum of positive squares in 2 ways, for example, as 2569273344 + 1289097216 = 50688^2 + 35904^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22302634 + ... + 22302806.

It is an arithmetic number, because the mean of its divisors is an integer number (31592687).

Almost surely, 2^3858370560 is an apocalyptic number.

3858370560 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 3858370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392688758).

3858370560 is an abundant number, since it is smaller than the sum of its proper divisors (10927006956).

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

3858370560 is a wasteful number, since it uses less digits than its factorization.

3858370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3858370560 is about 62115.7835014580. The cubic root of 3858370560 is about 1568.4402484468.

The spelling of 3858370560 in words is "three billion, eight hundred fifty-eight million, three hundred seventy thousand, five hundred sixty".