3967138321272 has 384 divisors, whose sum is σ = 13211800842240. Its totient is φ = 1091313699840.

The previous prime is 3967138321271. The next prime is 3967138321277. The reversal of 3967138321272 is 2721238317693.

It is a happy number.

3967138321272 is a `hidden beast` number, since 39 + 6 + 7 + 13 + 8 + 321 + 272 = 666.

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

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 (3967138321271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83080188 + ... + 83127924.

It is an arithmetic number, because the mean of its divisors is an integer number (34405731360).

Almost surely, 2^{3967138321272} 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 3967138321272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605900421120).

3967138321272 is an abundant number, since it is smaller than the sum of its proper divisors (9244662520968).

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

3967138321272 is a wasteful number, since it uses less digits than its factorization.

3967138321272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47993 (or 47977 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 3967138321272 in words is "three trillion, nine hundred sixty-seven billion, one hundred thirty-eight million, three hundred twenty-one thousand, two hundred seventy-two".