3917967109056 has 1344 divisors, whose sum is σ = 15986597114880. Its totient is φ = 908684697600.

The previous prime is 3917967109019. The next prime is 3917967109057. The reversal of 3917967109056 is 6509017697193.

3917967109056 is a `hidden beast` number, since 391 + 7 + 96 + 7 + 109 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3917967109056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3917967108984 and 3917967109002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3917967109057) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1662267430 + ... + 1662269786.

It is an arithmetic number, because the mean of its divisors is an integer number (11894789520).

Almost surely, 2^{3917967109056} is an apocalyptic number.

3917967109056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3917967109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993298557440).

3917967109056 is an abundant number, since it is smaller than the sum of its proper divisors (12068630005824).

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

3917967109056 is a wasteful number, since it uses less digits than its factorization.

3917967109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 63.

The spelling of 3917967109056 in words is "three trillion, nine hundred seventeen billion, nine hundred sixty-seven million, one hundred nine thousand, fifty-six".