3875325120 has 672 divisors, whose sum is σ = 15133198080. Its totient is φ = 940584960.

The previous prime is 3875325107. The next prime is 3875325127. The reversal of 3875325120 is 215235783.

It is a happy number.

3875325120 is a `hidden beast` number, since 387 + 5 + 3 + 251 + 20 = 666.

3875325120 is digitally balanced in base 2, because in such base 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 (3875325127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63529890 + ... + 63529950.

It is an arithmetic number, because the mean of its divisors is an integer number (22519640).

Almost surely, 2^3875325120 is an apocalyptic number.

3875325120 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 3875325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566599040).

3875325120 is an abundant number, since it is smaller than the sum of its proper divisors (11257872960).

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

3875325120 is a wasteful number, since it uses less digits than its factorization.

3875325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3875325120 is about 62252.1093618521. The cubic root of 3875325120 is about 1570.7342529533.

The spelling of 3875325120 in words is "three billion, eight hundred seventy-five million, three hundred twenty-five thousand, one hundred twenty".