3917913487488 has 3072 divisors, whose sum is σ = 17328361881600. Its totient is φ = 852797030400.

The previous prime is 3917913487463. The next prime is 3917913487489. The reversal of 3917913487488 is 8847843197193.

3917913487488 is a `hidden beast` number, since 3 + 9 + 1 + 7 + 9 + 134 + 8 + 7 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3917913487489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12761933031 + ... + 12761933337.

It is an arithmetic number, because the mean of its divisors is an integer number (5640742800).

Almost surely, 2^{3917913487488} 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 3917913487488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664180940800).

3917913487488 is an abundant number, since it is smaller than the sum of its proper divisors (13410448394112).

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

3917913487488 is a wasteful number, since it uses less digits than its factorization.

3917913487488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 391 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 3917913487488 in words is "three trillion, nine hundred seventeen billion, nine hundred thirteen million, four hundred eighty-seven thousand, four hundred eighty-eight".