3917485981696 has 225 divisors, whose sum is σ = 9312000549159. Its totient is φ = 1643200806912.

The previous prime is 3917485981691. The next prime is 3917485981697. The reversal of 3917485981696 is 6961895847193.

The square root of 3917485981696 is 1979264.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (705438720) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (3917485981691) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 83350765545 + ... + 83350765591.

Almost surely, 2^{3917485981696} is an apocalyptic number.

3917485981696 is the 1979264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3917485981696

3917485981696 is an abundant number, since it is smaller than the sum of its proper divisors (5394514567463).

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

3917485981696 is an frugal number, since it uses more digits than its factorization.

3917485981696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 56 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 76.

The spelling of 3917485981696 in words is "three trillion, nine hundred seventeen billion, four hundred eighty-five million, nine hundred eighty-one thousand, six hundred ninety-six".