3896023824 has 360 divisors, whose sum is σ = 14510321280. Its totient is φ = 951920640.

The previous prime is 3896023819. The next prime is 3896023847. The reversal of 3896023824 is 4283206983.

3896023824 is a `hidden beast` number, since 3 + 8 + 9 + 602 + 38 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3896023824.

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 71 ways as a sum of consecutive naturals, for example, 2072517 + ... + 2074395.

It is an arithmetic number, because the mean of its divisors is an integer number (40306448).

Almost surely, 2^3896023824 is an apocalyptic number.

3896023824 is a gapful number since it is divisible by the number (34) 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 3896023824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255160640).

3896023824 is an abundant number, since it is smaller than the sum of its proper divisors (10614297456).

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

3896023824 is a wasteful number, since it uses less digits than its factorization.

3896023824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3896023824 is about 62418.1369795671. The cubic root of 3896023824 is about 1573.5257994142.

The spelling of 3896023824 in words is "three billion, eight hundred ninety-six million, twenty-three thousand, eight hundred twenty-four".