3821528160 has 240 divisors, whose sum is σ = 13584186000. Its totient is φ = 1011723264.

The previous prime is 3821528153. The next prime is 3821528203. The reversal of 3821528160 is 618251283.

It is a happy number.

3821528160 is digitally balanced in base 2, because in such base 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 (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1930051 + ... + 1932029.

It is an arithmetic number, because the mean of its divisors is an integer number (56600775).

Almost surely, 2^3821528160 is an apocalyptic number.

3821528160 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 3821528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792093000).

3821528160 is an abundant number, since it is smaller than the sum of its proper divisors (9762657840).

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

3821528160 is a wasteful number, since it uses less digits than its factorization.

3821528160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3821528160 is about 61818.5098493970. The cubic root of 3821528160 is about 1563.4320886430.

The spelling of 3821528160 in words is "three billion, eight hundred twenty-one million, five hundred twenty-eight thousand, one hundred sixty".