348892729272 has 128 divisors (see below), whose sum is σ = 1002990240000. Its totient is φ = 112239727488.

The previous prime is 348892729271. The next prime is 348892729319. The reversal of 348892729272 is 272927298843.

It is a super-2 number, since 2×348892729272² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348892729271) 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 31 ways as a sum of consecutive naturals, for example, 16645503 + ... + 16666449.

It is an arithmetic number, because the mean of its divisors is an integer number (7835861250).

Almost surely, 2^348892729272 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 348892729272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501495120000).

348892729272 is an abundant number, since it is smaller than the sum of its proper divisors (654097510728).

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

348892729272 is a wasteful number, since it uses less digits than its factorization.

348892729272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23650 (or 23640 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 348892729272 in words is "three hundred forty-eight billion, eight hundred ninety-two million, seven hundred twenty-nine thousand, two hundred seventy-two".