3919563648 has 768 divisors, whose sum is σ = 15801676800. Its totient is φ = 930631680.

The previous prime is 3919563631. The next prime is 3919563671. The reversal of 3919563648 is 8463659193.

3919563648 is a `hidden beast` number, since 3 + 9 + 19 + 563 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3919563594 and 3919563603.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 38053965 + ... + 38054067.

It is an arithmetic number, because the mean of its divisors is an integer number (20575100).

Almost surely, 2^3919563648 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 3919563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900838400).

3919563648 is an abundant number, since it is smaller than the sum of its proper divisors (11882113152).

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

3919563648 is a wasteful number, since it uses less digits than its factorization.

3919563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 139 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 3919563648 is about 62606.4185846787. The cubic root of 3919563648 is about 1576.6885256269.

The spelling of 3919563648 in words is "three billion, nine hundred nineteen million, five hundred sixty-three thousand, six hundred forty-eight".