3848325120 has 384 divisors, whose sum is σ = 14152320000. Its totient is φ = 990904320.

The previous prime is 3848325053. The next prime is 3848325137. The reversal of 3848325120 is 215238483.

3848325120 is a `hidden beast` number, since 38 + 483 + 25 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8570656 + ... + 8571104.

It is an arithmetic number, because the mean of its divisors is an integer number (36855000).

Almost surely, 2^3848325120 is an apocalyptic number.

3848325120 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 3848325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160000).

3848325120 is an abundant number, since it is smaller than the sum of its proper divisors (10303994880).

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

3848325120 is a wasteful number, since it uses less digits than its factorization.

3848325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3848325120 is about 62034.8701941094. The cubic root of 3848325120 is about 1567.0778973793.

The spelling of 3848325120 in words is "three billion, eight hundred forty-eight million, three hundred twenty-five thousand, one hundred twenty".