3855506500 has 96 divisors (see below), whose sum is σ = 9223774560. Its totient is φ = 1401344000.

The previous prime is 3855506489. The next prime is 3855506509. The reversal of 3855506500 is 56055583.

3855506500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 814645764 + 3040860736 = 28542^2 + 55144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3855506500.

It is not an unprimeable number, because it can be changed into a prime (3855506509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238680 + ... + 254320.

It is an arithmetic number, because the mean of its divisors is an integer number (96080985).

Almost surely, 2^3855506500 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 3855506500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611887280).

3855506500 is an abundant number, since it is smaller than the sum of its proper divisors (5368268060).

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

3855506500 is a wasteful number, since it uses less digits than its factorization.

3855506500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15706 (or 15694 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The square root of 3855506500 is about 62092.7250167038. The cubic root of 3855506500 is about 1568.0520691311.

The spelling of 3855506500 in words is "three billion, eight hundred fifty-five million, five hundred six thousand, five hundred".