3845135800 has 192 divisors, whose sum is σ = 10214346240. Its totient is φ = 1333632000.

The previous prime is 3845135683. The next prime is 3845135807. The reversal of 3845135800 is 85315483.

It is a self number, because there is not a number n which added to its sum of digits gives 3845135800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845135807) 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, 4238947 + ... + 4239853.

It is an arithmetic number, because the mean of its divisors is an integer number (53199720).

Almost surely, 2^3845135800 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 3845135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107173120).

3845135800 is an abundant number, since it is smaller than the sum of its proper divisors (6369210440).

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

3845135800 is a wasteful number, since it uses less digits than its factorization.

3845135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 3845135800 is about 62009.1590009089. The cubic root of 3845135800 is about 1566.6448696731.

The spelling of 3845135800 in words is "three billion, eight hundred forty-five million, one hundred thirty-five thousand, eight hundred".