3817640448 has 120 divisors (see below), whose sum is σ = 11274785808. Its totient is φ = 1242888192.

The previous prime is 3817640423. The next prime is 3817640461. The reversal of 3817640448 is 8440467183.

3817640448 is a `hidden beast` number, since 38 + 176 + 4 + 0 + 448 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 188511 + ... + 207777.

Almost surely, 2^3817640448 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 3817640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637392904).

3817640448 is an abundant number, since it is smaller than the sum of its proper divisors (7457145360).

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

3817640448 is a wasteful number, since it uses less digits than its factorization.

3817640448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19334 (or 19315 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3817640448 is about 61787.0572854866. The cubic root of 3817640448 is about 1562.9017391990.

The spelling of 3817640448 in words is "three billion, eight hundred seventeen million, six hundred forty thousand, four hundred forty-eight".