3852515520 has 560 divisors, whose sum is σ = 16596360000. Its totient is φ = 828112896.

The previous prime is 3852515509. The next prime is 3852515533. The reversal of 3852515520 is 255152583.

3852515520 is a `hidden beast` number, since 3 + 8 + 52 + 51 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3083856 + ... + 3085104.

Almost surely, 2^3852515520 is an apocalyptic number.

3852515520 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 3852515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298180000).

3852515520 is an abundant number, since it is smaller than the sum of its proper divisors (12743844480).

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

3852515520 is a wasteful number, since it uses less digits than its factorization.

3852515520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 3852515520 is about 62068.6355577437. The cubic root of 3852515520 is about 1567.6464824991.

It can be divided in two parts, 38525 and 15520, that added together give a palindrome (54045).

The spelling of 3852515520 in words is "three billion, eight hundred fifty-two million, five hundred fifteen thousand, five hundred twenty".