3884645520 has 720 divisors, whose sum is σ = 16664647680. Its totient is φ = 829108224.

The previous prime is 3884645489. The next prime is 3884645539. The reversal of 3884645520 is 255464883.

3884645520 is a `hidden beast` number, since 3 + 8 + 84 + 6 + 45 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30587697 + ... + 30587823.

It is an arithmetic number, because the mean of its divisors is an integer number (23145344).

Almost surely, 2^3884645520 is an apocalyptic number.

3884645520 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 3884645520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332323840).

3884645520 is an abundant number, since it is smaller than the sum of its proper divisors (12780002160).

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

3884645520 is a wasteful number, since it uses less digits than its factorization.

3884645520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 3884645520 is about 62326.9245190231. The cubic root of 3884645520 is about 1571.9924829196.

The spelling of 3884645520 in words is "three billion, eight hundred eighty-four million, six hundred forty-five thousand, five hundred twenty".