3986348722272 has 1152 divisors, whose sum is σ = 15122603059200. Its totient is φ = 969345957888.

The previous prime is 3986348722271. The next prime is 3986348722289. The reversal of 3986348722272 is 2722278436893.

3986348722272 is a `hidden beast` number, since 3 + 9 + 8 + 63 + 487 + 2 + 22 + 72 = 666.

It is a super-2 number, since 2×3986348722272² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986348722271) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 945302308 + ... + 945306524.

It is an arithmetic number, because the mean of its divisors is an integer number (13127259600).

Almost surely, 2^{3986348722272} is an apocalyptic number.

3986348722272 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 3986348722272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561301529600).

3986348722272 is an abundant number, since it is smaller than the sum of its proper divisors (11136254336928).

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

3986348722272 is a wasteful number, since it uses less digits than its factorization.

3986348722272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4337 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 3986348722272 in words is "three trillion, nine hundred eighty-six billion, three hundred forty-eight million, seven hundred twenty-two thousand, two hundred seventy-two".