3855753000 has 768 divisors, whose sum is σ = 15769728000. Its totient is φ = 838656000.

The previous prime is 3855752993. The next prime is 3855753001. The reversal of 3855753000 is 3575583.

3855753000 is a `hidden beast` number, since 3 + 85 + 575 + 3 + 0 + 0 + 0 = 666.

3855753000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3855753001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48806961 + ... + 48807039.

It is an arithmetic number, because the mean of its divisors is an integer number (20533500).

Almost surely, 2^3855753000 is an apocalyptic number.

3855753000 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 3855753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884864000).

3855753000 is an abundant number, since it is smaller than the sum of its proper divisors (11913975000).

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

3855753000 is a wasteful number, since it uses less digits than its factorization.

3855753000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 3855753000 is about 62094.7099196059. The cubic root of 3855753000 is about 1568.0854859769.

The spelling of 3855753000 in words is "three billion, eight hundred fifty-five million, seven hundred fifty-three thousand".