3716636448 has 192 divisors, whose sum is σ = 11433768192. Its totient is φ = 1035141120.

The previous prime is 3716636411. The next prime is 3716636467. The reversal of 3716636448 is 8446366173.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 = 3716636397 and 3716636406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8583240 + ... + 8583672.

It is an arithmetic number, because the mean of its divisors is an integer number (59550876).

Almost surely, 2^3716636448 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 3716636448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716884096).

3716636448 is an abundant number, since it is smaller than the sum of its proper divisors (7717131744).

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

3716636448 is a wasteful number, since it uses less digits than its factorization.

3716636448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 739 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 3716636448 is about 60964.2226883932. Note that the first 3 decimals coincide. The cubic root of 3716636448 is about 1548.9950402740.

The spelling of 3716636448 in words is "three billion, seven hundred sixteen million, six hundred thirty-six thousand, four hundred forty-eight".