3845956000 has 96 divisors (see below), whose sum is σ = 9537287760. Its totient is φ = 1524096000.

The previous prime is 3845955983. The next prime is 3845956001. The reversal of 3845956000 is 6595483.

It can be written as a sum of positive squares in 8 ways, for example, as 448931344 + 3397024656 = 21188^2 + 58284^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3845956001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431590 + ... + 440410.

Almost surely, 2^3845956000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3845956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768643880).

3845956000 is an abundant number, since it is smaller than the sum of its proper divisors (5691331760).

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

3845956000 is a wasteful number, since it uses less digits than its factorization.

3845956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8955 (or 8937 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 3845956000 is about 62015.7721874041. The cubic root of 3845956000 is about 1566.7562546224.

The spelling of 3845956000 in words is "three billion, eight hundred forty-five million, nine hundred fifty-six thousand".