3974622644160 has 1120 divisors, whose sum is σ = 16699626240000. Its totient is φ = 896826857472.

The previous prime is 3974622644149. The next prime is 3974622644197. The reversal of 3974622644160 is 614462264793.

3974622644160 is a `hidden beast` number, since 3 + 9 + 7 + 4 + 622 + 6 + 4 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3974622644097 and 3974622644106.

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, 702351411 + ... + 702357069.

Almost surely, 2^{3974622644160} is an apocalyptic number.

3974622644160 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 3974622644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8349813120000).

3974622644160 is an abundant number, since it is smaller than the sum of its proper divisors (12725003595840).

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

3974622644160 is an equidigital number, since it uses as much as digits as its factorization.

3974622644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5755 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3974622644160 in words is "three trillion, nine hundred seventy-four billion, six hundred twenty-two million, six hundred forty-four thousand, one hundred sixty".