34529240952 has 128 divisors (see below), whose sum is σ = 97511040000. Its totient is φ = 11319759360.

The previous prime is 34529240939. The next prime is 34529240959. The reversal of 34529240952 is 25904292543.

34529240952 is a `hidden beast` number, since 34 + 529 + 2 + 4 + 0 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34529240898 and 34529240907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34529240959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3192049 + ... + 3202847.

It is an arithmetic number, because the mean of its divisors is an integer number (761805000).

Almost surely, 2^34529240952 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 34529240952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48755520000).

34529240952 is an abundant number, since it is smaller than the sum of its proper divisors (62981799048).

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

34529240952 is a wasteful number, since it uses less digits than its factorization.

34529240952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058 (or 11048 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 34529240952 in words is "thirty-four billion, five hundred twenty-nine million, two hundred forty thousand, nine hundred fifty-two".