3896732448 has 336 divisors, whose sum is σ = 13441276800. Its totient is φ = 1111065984.

The previous prime is 3896732429. The next prime is 3896732461. The reversal of 3896732448 is 8442376983.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3896732394 and 3896732403.

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 55 ways as a sum of consecutive naturals, for example, 8001261 + ... + 8001747.

It is an arithmetic number, because the mean of its divisors is an integer number (40003800).

Almost surely, 2^3896732448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3896732448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720638400).

3896732448 is an abundant number, since it is smaller than the sum of its proper divisors (9544544352).

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

3896732448 is an frugal number, since it uses more digits than its factorization.

3896732448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 499 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3896732448 is about 62423.8131485093. The cubic root of 3896732448 is about 1573.6211932996.

The spelling of 3896732448 in words is "three billion, eight hundred ninety-six million, seven hundred thirty-two thousand, four hundred forty-eight".