3917488848 has 240 divisors, whose sum is σ = 13090162176. Its totient is φ = 999613440.

The previous prime is 3917488811. The next prime is 3917488873. The reversal of 3917488848 is 8488847193.

It is a junction number, because it is equal to n+sod(n) for n = 3917488791 and 3917488800.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 945790 + ... + 949922.

Almost surely, 2^3917488848 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 3917488848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545081088).

3917488848 is an abundant number, since it is smaller than the sum of its proper divisors (9172673328).

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

3917488848 is a wasteful number, since it uses less digits than its factorization.

3917488848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4189 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 60.

The square root of 3917488848 is about 62589.8462052752. The cubic root of 3917488848 is about 1576.4102726516.

The spelling of 3917488848 in words is "three billion, nine hundred seventeen million, four hundred eighty-eight thousand, eight hundred forty-eight".