3986242606080 has 1056 divisors, whose sum is σ = 16705917446400. Its totient is φ = 911043624960.

The previous prime is 3986242606063. The next prime is 3986242606123. The reversal of 3986242606080 is 806062426893.

3986242606080 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 2 + 4 + 26 + 0 + 608 + 0 = 666.

It is a super-2 number, since 2×3986242606080² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426742210 + ... + 426751550.

Almost surely, 2^{3986242606080} is an apocalyptic number.

3986242606080 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 3986242606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352958723200).

3986242606080 is an abundant number, since it is smaller than the sum of its proper divisors (12719674840320).

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

3986242606080 is an frugal number, since it uses more digits than its factorization.

3986242606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3986242606080 in words is "three trillion, nine hundred eighty-six billion, two hundred forty-two million, six hundred six thousand, eighty".