34207252224 has 144 divisors (see below), whose sum is σ = 97459555200. Its totient is φ = 10618933248.

The previous prime is 34207252213. The next prime is 34207252229. The reversal of 34207252224 is 42225270243.

It is a super-2 number, since 2×34207252224² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34207252229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841062 + ... + 880794.

Almost surely, 2^34207252224 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 34207252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48729777600).

34207252224 is an abundant number, since it is smaller than the sum of its proper divisors (63252302976).

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

34207252224 is a wasteful number, since it uses less digits than its factorization.

34207252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39830 (or 39816 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The spelling of 34207252224 in words is "thirty-four billion, two hundred seven million, two hundred fifty-two thousand, two hundred twenty-four".