3696248448 has 192 divisors, whose sum is σ = 11437545600. Its totient is φ = 1142083584.

The previous prime is 3696248431. The next prime is 3696248449. The reversal of 3696248448 is 8448426963.

3696248448 is a `hidden beast` number, since 3 + 6 + 9 + 624 + 8 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 3696248394 and 3696248403.

It is not an unprimeable number, because it can be changed into a prime (3696248449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026940 + ... + 1030532.

It is an arithmetic number, because the mean of its divisors is an integer number (59570550).

Almost surely, 2^3696248448 is an apocalyptic number.

3696248448 is a gapful number since it is divisible by the number (38) 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 3696248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718772800).

3696248448 is an abundant number, since it is smaller than the sum of its proper divisors (7741297152).

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

3696248448 is a wasteful number, since it uses less digits than its factorization.

3696248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3664 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 3696248448 is about 60796.7799147290. The cubic root of 3696248448 is about 1546.1574535870.

The spelling of 3696248448 in words is "three billion, six hundred ninety-six million, two hundred forty-eight thousand, four hundred forty-eight".