3855147120 has 720 divisors, whose sum is σ = 15976789920. Its totient is φ = 827228160.

The previous prime is 3855147097. The next prime is 3855147133. The reversal of 3855147120 is 217415583.

3855147120 is a `hidden beast` number, since 38 + 551 + 4 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28139692 + ... + 28139828.

It is an arithmetic number, because the mean of its divisors is an integer number (22189986).

Almost surely, 2^3855147120 is an apocalyptic number.

3855147120 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 3855147120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988394960).

3855147120 is an abundant number, since it is smaller than the sum of its proper divisors (12121642800).

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

3855147120 is a wasteful number, since it uses less digits than its factorization.

3855147120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

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

The square root of 3855147120 is about 62089.8310514693. The cubic root of 3855147120 is about 1568.0033471225.

It can be divided in two parts, 3855 and 147120, that added together give a triangular number (150975 = T₅₄₉).

The spelling of 3855147120 in words is "three billion, eight hundred fifty-five million, one hundred forty-seven thousand, one hundred twenty".