3840452352 has 360 divisors, whose sum is σ = 12687721200. Its totient is φ = 1145733120.

The previous prime is 3840452327. The next prime is 3840452417. The reversal of 3840452352 is 2532540483.

3840452352 is a `hidden beast` number, since 3 + 84 + 0 + 4 + 523 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 25774774 + ... + 25774922.

It is an arithmetic number, because the mean of its divisors is an integer number (35243670).

Almost surely, 2^3840452352 is an apocalyptic number.

3840452352 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 3840452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343860600).

3840452352 is an abundant number, since it is smaller than the sum of its proper divisors (8847268848).

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

3840452352 is a wasteful number, since it uses less digits than its factorization.

3840452352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3840452352 is about 61971.3833313409. The cubic root of 3840452352 is about 1566.0085435743.

The spelling of 3840452352 in words is "three billion, eight hundred forty million, four hundred fifty-two thousand, three hundred fifty-two".