3978169997760 has 336 divisors, whose sum is σ = 15792836559552. Its totient is φ = 900292608000.

The previous prime is 3978169997759. The next prime is 3978169997777. The reversal of 3978169997760 is 677999618793.

It is a happy number.

3978169997760 is a `hidden beast` number, since 397 + 8 + 16 + 9 + 99 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 3978169997760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059280 + ... + 3013040.

Almost surely, 2^{3978169997760} is an apocalyptic number.

3978169997760 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 3978169997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896418279776).

3978169997760 is an abundant number, since it is smaller than the sum of its proper divisors (11814666561792).

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

3978169997760 is a wasteful number, since it uses less digits than its factorization.

3978169997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953892 (or 1953879 counting only the distinct ones).

The product of its (nonzero) digits is 1944365472, while the sum is 81.

The spelling of 3978169997760 in words is "three trillion, nine hundred seventy-eight billion, one hundred sixty-nine million, nine hundred ninety-seven thousand, seven hundred sixty".