3971769790464 has 1872 divisors, whose sum is σ = 14879188187136. Its totient is φ = 1053455155200.

The previous prime is 3971769790367. The next prime is 3971769790517. The reversal of 3971769790464 is 4640979671793.

3971769790464 is a `hidden beast` number, since 3 + 9 + 7 + 1 + 76 + 9 + 7 + 90 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3971769790392 and 3971769790401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55940419549 + ... + 55940419619.

It is an arithmetic number, because the mean of its divisors is an integer number (7948284288).

Almost surely, 2^{3971769790464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3971769790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439594093568).

3971769790464 is an abundant number, since it is smaller than the sum of its proper divisors (10907418396672).

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

3971769790464 is an equidigital number, since it uses as much as digits as its factorization.

3971769790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 3971769790464 in words is "three trillion, nine hundred seventy-one billion, seven hundred sixty-nine million, seven hundred ninety thousand, four hundred sixty-four".