34125600 has 144 divisors (see below), whose sum is σ = 113430240. Its totient is φ = 8908800.

The previous prime is 34125599. The next prime is 34125601. The reversal of 34125600 is 652143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34125599) and next prime (34125601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34125601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141480 + ... + 141720.

It is an arithmetic number, because the mean of its divisors is an integer number (787710).

Almost surely, 2^34125600 is an apocalyptic number.

34125600 is a gapful number since it is divisible by the number (30) 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 34125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56715120).

34125600 is an abundant number, since it is smaller than the sum of its proper divisors (79304640).

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

34125600 is a wasteful number, since it uses less digits than its factorization.

34125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 34125600 is about 5841.7120778073. The cubic root of 34125600 is about 324.3596068222.

Adding to 34125600 its reverse (652143), we get a palindrome (34777743).

The spelling of 34125600 in words is "thirty-four million, one hundred twenty-five thousand, six hundred".