3888975360 has 160 divisors (see below), whose sum is σ = 12525448320. Its totient is φ = 1029316608.

The previous prime is 3888975359. The next prime is 3888975367. The reversal of 3888975360 is 635798883.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 3888975360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3888975367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065699 + ... + 1069341.

It is an arithmetic number, because the mean of its divisors is an integer number (78284052).

Almost surely, 2^3888975360 is an apocalyptic number.

3888975360 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 3888975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262724160).

3888975360 is an abundant number, since it is smaller than the sum of its proper divisors (8636472960).

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

3888975360 is a wasteful number, since it uses less digits than its factorization.

3888975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The square root of 3888975360 is about 62361.6497536747. The cubic root of 3888975360 is about 1572.5763155688.

The spelling of 3888975360 in words is "three billion, eight hundred eighty-eight million, nine hundred seventy-five thousand, three hundred sixty".