3974558579712 has 264 divisors, whose sum is σ = 13568225080800. Its totient is φ = 1096429436928.

The previous prime is 3974558579707. The next prime is 3974558579737. The reversal of 3974558579712 is 2179758554793.

It is a happy number.

3974558579712 is a `hidden beast` number, since 3 + 9 + 7 + 4 + 558 + 57 + 9 + 7 + 12 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808614 + ... + 2933082.

Almost surely, 2^{3974558579712} is an apocalyptic number.

3974558579712 is a gapful number since it is divisible by the number (32) 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 3974558579712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784112540400).

3974558579712 is an abundant number, since it is smaller than the sum of its proper divisors (9593666501088).

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

3974558579712 is a wasteful number, since it uses less digits than its factorization.

3974558579712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124531 (or 2124510 counting only the distinct ones).

The product of its digits is 666792000, while the sum is 72.

The spelling of 3974558579712 in words is "three trillion, nine hundred seventy-four billion, five hundred fifty-eight million, five hundred seventy-nine thousand, seven hundred twelve".