34142600 has 48 divisors (see below), whose sum is σ = 80904420. Its totient is φ = 13395200.

The previous prime is 34142593. The next prime is 34142609. The reversal of 34142600 is 624143.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20994724 + 13147876 = 4582^2 + 3626^2 .

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 (34142609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8990 + ... + 12210.

Almost surely, 2^34142600 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 34142600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40452210).

34142600 is an abundant number, since it is smaller than the sum of its proper divisors (46761820).

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

34142600 is a wasteful number, since it uses less digits than its factorization.

34142600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 34142600 is about 5843.1669495232. The cubic root of 34142600 is about 324.4134588466.

Adding to 34142600 its reverse (624143), we get a palindrome (34766743).

The spelling of 34142600 in words is "thirty-four million, one hundred forty-two thousand, six hundred".