3888501120 has 1024 divisors, whose sum is σ = 17484595200. Its totient is φ = 796262400.

The previous prime is 3888501119. The next prime is 3888501121. The reversal of 3888501120 is 211058883.

It is an interprime number because it is at equal distance from previous prime (3888501119) and next prime (3888501121).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3888501121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63745890 + ... + 63745950.

It is an arithmetic number, because the mean of its divisors is an integer number (17074800).

Almost surely, 2^3888501120 is an apocalyptic number.

3888501120 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 3888501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742297600).

3888501120 is an abundant number, since it is smaller than the sum of its proper divisors (13596094080).

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

3888501120 is a wasteful number, since it uses less digits than its factorization.

3888501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 3888501120 is about 62357.8473008811. The cubic root of 3888501120 is about 1572.5123905124.

The spelling of 3888501120 in words is "three billion, eight hundred eighty-eight million, five hundred one thousand, one hundred twenty".