34224370272 has 72 divisors (see below), whose sum is σ = 97672138200. Its totient is φ = 11367498240.

The previous prime is 34224370237. The next prime is 34224370319. The reversal of 34224370272 is 27207342243.

34224370272 is a `hidden beast` number, since 342 + 2 + 43 + 7 + 0 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130522 + ... + 292377.

It is an arithmetic number, because the mean of its divisors is an integer number (1356557475).

Almost surely, 2^34224370272 is an apocalyptic number.

34224370272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34224370272 is an abundant number, since it is smaller than the sum of its proper divisors (63447767928).

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

34224370272 is a wasteful number, since it uses less digits than its factorization.

34224370272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423196 (or 423185 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

It can be divided in two parts, 34224 and 370272, that added together give a square (404496 = 636²).

The spelling of 34224370272 in words is "thirty-four billion, two hundred twenty-four million, three hundred seventy thousand, two hundred seventy-two".