3884516352 has 264 divisors, whose sum is σ = 11856158496. Its totient is φ = 1270038528.

The previous prime is 3884516323. The next prime is 3884516393. The reversal of 3884516352 is 2536154883.

3884516352 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 5 + 1 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3884516298 and 3884516307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16671628 + ... + 16671860.

Almost surely, 2^3884516352 is an apocalyptic number.

3884516352 is a gapful number since it is divisible by the number (32) 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 3884516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928079248).

3884516352 is an abundant number, since it is smaller than the sum of its proper divisors (7971642144).

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

3884516352 is an equidigital number, since it uses as much as digits as its factorization.

3884516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 305 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 3884516352 is about 62325.8882969188. Note that the first 3 decimals coincide. The cubic root of 3884516352 is about 1571.9750593328.

The spelling of 3884516352 in words is "three billion, eight hundred eighty-four million, five hundred sixteen thousand, three hundred fifty-two".