3853474560 has 432 divisors, whose sum is σ = 14905616544. Its totient is φ = 947552256.

The previous prime is 3853474517. The next prime is 3853474601. The reversal of 3853474560 is 654743583.

3853474560 is a `hidden beast` number, since 3 + 85 + 3 + 4 + 7 + 4 + 560 = 666.

3853474560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 4043044 + ... + 4043996.

It is an arithmetic number, because the mean of its divisors is an integer number (34503742).

Almost surely, 2^3853474560 is an apocalyptic number.

3853474560 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 3853474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452808272).

3853474560 is an abundant number, since it is smaller than the sum of its proper divisors (11052141984).

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

3853474560 is an equidigital number, since it uses as much as digits as its factorization.

3853474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 3853474560 is about 62076.3607180704. The cubic root of 3853474560 is about 1567.7765543044.

The spelling of 3853474560 in words is "three billion, eight hundred fifty-three million, four hundred seventy-four thousand, five hundred sixty".