3852956160 has 400 divisors, whose sum is σ = 14625209016. Its totient is φ = 966131712.

The previous prime is 3852956147. The next prime is 3852956171. The reversal of 3852956160 is 616592583.

3852956160 is a `hidden beast` number, since 3 + 8 + 5 + 29 + 5 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3851940096 + 1016064 = 62064^2 + 1008^2 .

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 39 ways as a sum of consecutive naturals, for example, 3524574 + ... + 3525666.

Almost surely, 2^3852956160 is an apocalyptic number.

3852956160 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 3852956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312604508).

3852956160 is an abundant number, since it is smaller than the sum of its proper divisors (10772252856).

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

3852956160 is a wasteful number, since it uses less digits than its factorization.

3852956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3852956160 is about 62072.1850751204. The cubic root of 3852956160 is about 1567.7062479007.

The spelling of 3852956160 in words is "three billion, eight hundred fifty-two million, nine hundred fifty-six thousand, one hundred sixty".