34166520252 has 144 divisors (see below), whose sum is σ = 95573237760. Its totient is φ = 10641207168.

The previous prime is 34166520247. The next prime is 34166520281. The reversal of 34166520252 is 25202566143.

34166520252 is a `hidden beast` number, since 341 + 6 + 65 + 2 + 0 + 252 = 666.

It is a super-2 number, since 2×34166520252² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1335493 + ... + 1360835.

It is an arithmetic number, because the mean of its divisors is an integer number (663703040).

Almost surely, 2^34166520252 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 34166520252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47786618880).

34166520252 is an abundant number, since it is smaller than the sum of its proper divisors (61406717508).

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

34166520252 is a wasteful number, since it uses less digits than its factorization.

34166520252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25454 (or 25440 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34166520252 in words is "thirty-four billion, one hundred sixty-six million, five hundred twenty thousand, two hundred fifty-two".