3875830560 has 672 divisors, whose sum is σ = 16182415872. Its totient is φ = 858470400.

The previous prime is 3875830507. The next prime is 3875830571. The reversal of 3875830560 is 650385783.

3875830560 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 83 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 111 ways as a sum of consecutive naturals, for example, 38374510 + ... + 38374610.

It is an arithmetic number, because the mean of its divisors is an integer number (24080976).

Almost surely, 2^3875830560 is an apocalyptic number.

3875830560 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 3875830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091207936).

3875830560 is an abundant number, since it is smaller than the sum of its proper divisors (12306585312).

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

3875830560 is a wasteful number, since it uses less digits than its factorization.

3875830560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

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

The square root of 3875830560 is about 62256.1688509661. The cubic root of 3875830560 is about 1570.8025377538.

The spelling of 3875830560 in words is "three billion, eight hundred seventy-five million, eight hundred thirty thousand, five hundred sixty".