3917996544 has 320 divisors, whose sum is σ = 13158300672. Its totient is φ = 1006387200.

The previous prime is 3917996543. The next prime is 3917996569. The reversal of 3917996544 is 4456997193.

It is not an unprimeable number, because it can be changed into a prime (3917996543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18568599 + ... + 18568809.

Almost surely, 2^3917996544 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 3917996544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579150336).

3917996544 is an abundant number, since it is smaller than the sum of its proper divisors (9240304128).

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

3917996544 is a wasteful number, since it uses less digits than its factorization.

3917996544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 391 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 57.

The square root of 3917996544 is about 62593.9018115982. The cubic root of 3917996544 is about 1576.4783692180.

The spelling of 3917996544 in words is "three billion, nine hundred seventeen million, nine hundred ninety-six thousand, five hundred forty-four".