3888652320 has 384 divisors, whose sum is σ = 16233799680. Its totient is φ = 850037760.

The previous prime is 3888652319. The next prime is 3888652331. The reversal of 3888652320 is 232568883.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692725 + ... + 698315.

It is an arithmetic number, because the mean of its divisors is an integer number (42275520).

Almost surely, 2^3888652320 is an apocalyptic number.

3888652320 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 3888652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116899840).

3888652320 is an abundant number, since it is smaller than the sum of its proper divisors (12345147360).

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

3888652320 is a wasteful number, since it uses less digits than its factorization.

3888652320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5631 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3888652320 is about 62359.0596465341. The cubic root of 3888652320 is about 1572.5327720411.

The spelling of 3888652320 in words is "three billion, eight hundred eighty-eight million, six hundred fifty-two thousand, three hundred twenty".