3888245760 has 528 divisors, whose sum is σ = 15062251776. Its totient is φ = 838139904.

The previous prime is 3888245759. The next prime is 3888245761. The reversal of 3888245760 is 675428883.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3888245759) and next prime (3888245761).

It is not an unprimeable number, because it can be changed into a prime (3888245761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90424299 + ... + 90424341.

It is an arithmetic number, because the mean of its divisors is an integer number (28526992).

Almost surely, 2^3888245760 is an apocalyptic number.

3888245760 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 3888245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531125888).

3888245760 is an abundant number, since it is smaller than the sum of its proper divisors (11174006016).

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

3888245760 is a wasteful number, since it uses less digits than its factorization.

3888245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 3888245760 is about 62355.7997302576. The cubic root of 3888245760 is about 1572.4779671753.

The spelling of 3888245760 in words is "three billion, eight hundred eighty-eight million, two hundred forty-five thousand, seven hundred sixty".