367972882368 has 448 divisors, whose sum is σ = 1226916268032. Its totient is φ = 94755225600.

The previous prime is 367972882367. The next prime is 367972882393. The reversal of 367972882368 is 863288279763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (367972882367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131370568 + ... + 131373368.

It is an arithmetic number, because the mean of its divisors is an integer number (2738652384).

Almost surely, 2^367972882368 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 367972882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613458134016).

367972882368 is an abundant number, since it is smaller than the sum of its proper divisors (858943385664).

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

367972882368 is a wasteful number, since it uses less digits than its factorization.

367972882368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3002 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 69.

The spelling of 367972882368 in words is "three hundred sixty-seven billion, nine hundred seventy-two million, eight hundred eighty-two thousand, three hundred sixty-eight".