3852795072 has 336 divisors, whose sum is σ = 12752344320. Its totient is φ = 1002792960.

The previous prime is 3852795059. The next prime is 3852795077. The reversal of 3852795072 is 2705972583.

It is a happy number.

3852795072 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3852795077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24540018 + ... + 24540174.

Almost surely, 2^3852795072 is an apocalyptic number.

3852795072 is a gapful number since it is divisible by the number (32) 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 3852795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376172160).

3852795072 is an abundant number, since it is smaller than the sum of its proper divisors (8899549248).

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

3852795072 is a wasteful number, since it uses less digits than its factorization.

3852795072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 3852795072 is about 62070.8874755307. The cubic root of 3852795072 is about 1567.6843995525.

The spelling of 3852795072 in words is "three billion, eight hundred fifty-two million, seven hundred ninety-five thousand, seventy-two".