3888810240 has 288 divisors, whose sum is σ = 14285107200. Its totient is φ = 883187712.

The previous prime is 3888810239. The next prime is 3888810251. The reversal of 3888810240 is 420188883.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3888810192 and 3888810201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5348757 + ... + 5349483.

Almost surely, 2^3888810240 is an apocalyptic number.

3888810240 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 3888810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142553600).

3888810240 is an abundant number, since it is smaller than the sum of its proper divisors (10396296960).

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

3888810240 is a wasteful number, since it uses less digits than its factorization.

3888810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 3888810240 is about 62360.3258490525. The cubic root of 3888810240 is about 1572.5540588515.

The spelling of 3888810240 in words is "three billion, eight hundred eighty-eight million, eight hundred ten thousand, two hundred forty".