34661152 has 48 divisors (see below), whose sum is σ = 70543872. Its totient is φ = 16756480.

The previous prime is 34661141. The next prime is 34661153. The reversal of 34661152 is 25116643.

It is a self number, because there is not a number n which added to its sum of digits gives 34661152.

It is not an unprimeable number, because it can be changed into a prime (34661153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181377 + ... + 181567.

It is an arithmetic number, because the mean of its divisors is an integer number (1469664).

Almost surely, 2^34661152 is an apocalyptic number.

34661152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35271936).

34661152 is an abundant number, since it is smaller than the sum of its proper divisors (35882720).

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

34661152 is a wasteful number, since it uses less digits than its factorization.

34661152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 34661152 is about 5887.3722491448. The cubic root of 34661152 is about 326.0475923843.

Adding to 34661152 its reverse (25116643), we get a palindrome (59777795).

The spelling of 34661152 in words is "thirty-four million, six hundred sixty-one thousand, one hundred fifty-two".