3917968254720 has 1152 divisors, whose sum is σ = 15216317625600. Its totient is φ = 948889976832.

The previous prime is 3917968254679. The next prime is 3917968254727. The reversal of 3917968254720 is 274528697193.

3917968254720 is a `hidden beast` number, since 3 + 9 + 1 + 7 + 9 + 6 + 82 + 547 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3917968254727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11626018392 + ... + 11626018728.

It is an arithmetic number, because the mean of its divisors is an integer number (13208609050).

It is a 1-persistent number, because it is pandigital, but 2⋅3917968254720 = 7835936509440 is not.

Almost surely, 2^{3917968254720} is an apocalyptic number.

3917968254720 is a gapful number since it is divisible by the number (30) 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 3917968254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608158812800).

3917968254720 is an abundant number, since it is smaller than the sum of its proper divisors (11298349370880).

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

3917968254720 is a wasteful number, since it uses less digits than its factorization.

3917968254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3917968254720 in words is "three trillion, nine hundred seventeen billion, nine hundred sixty-eight million, two hundred fifty-four thousand, seven hundred twenty".