3855070800 has 240 divisors, whose sum is σ = 15681674880. Its totient is φ = 881141760.

The previous prime is 3855070789. The next prime is 3855070829. The reversal of 3855070800 is 80705583.

It is a happy number.

3855070800 is a `hidden beast` number, since 38 + 550 + 70 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50104 + ... + 101096.

It is an arithmetic number, because the mean of its divisors is an integer number (65340312).

Almost surely, 2^3855070800 is an apocalyptic number.

3855070800 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 3855070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840837440).

3855070800 is an abundant number, since it is smaller than the sum of its proper divisors (11826604080).

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

3855070800 is a wasteful number, since it uses less digits than its factorization.

3855070800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51027 (or 51010 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 3855070800 is about 62089.2164550335. The cubic root of 3855070800 is about 1567.9929998473.

The spelling of 3855070800 in words is "three billion, eight hundred fifty-five million, seventy thousand, eight hundred".