3917168640000 has 2880 divisors, whose sum is σ = 18868256225280. Its totient is φ = 778567680000.

The previous prime is 3917168639963. The next prime is 3917168640037. The reversal of 3917168640000 is 468617193.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3917168639963) and next prime (3917168640037).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 170311679989 + ... + 170311680011.

It is an arithmetic number, because the mean of its divisors is an integer number (6551477856).

Almost surely, 2^{3917168640000} is an apocalyptic number.

3917168640000 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 3917168640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434128112640).

3917168640000 is an abundant number, since it is smaller than the sum of its proper divisors (14951087585280).

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

3917168640000 is an frugal number, since it uses more digits than its factorization.

3917168640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 3917168640000 in words is "three trillion, nine hundred seventeen billion, one hundred sixty-eight million, six hundred forty thousand".