34121360 has 160 divisors (see below), whose sum is σ = 100826880. Its totient is φ = 10450944.

The previous prime is 34121341. The next prime is 34121369. The reversal of 34121360 is 6312143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34121369) 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, 312986 + ... + 313094.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 2^34121360 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 34121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50413440).

34121360 is an abundant number, since it is smaller than the sum of its proper divisors (66705520).

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

34121360 is a wasteful number, since it uses less digits than its factorization.

34121360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 34121360 is about 5841.3491592268. The cubic root of 34121360 is about 324.3461727073.

The spelling of 34121360 in words is "thirty-four million, one hundred twenty-one thousand, three hundred sixty".