34113600 has 252 divisors, whose sum is σ = 127747776. Its totient is φ = 8616960.

The previous prime is 34113589. The next prime is 34113601. The reversal of 34113600 is 631143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34113601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331149 + ... + 331251.

Almost surely, 2^34113600 is an apocalyptic number.

34113600 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 34113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63873888).

34113600 is an abundant number, since it is smaller than the sum of its proper divisors (93634176).

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

34113600 is a wasteful number, since it uses less digits than its factorization.

34113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 34113600 is about 5840.6848913462. The cubic root of 34113600 is about 324.3215828597.

Adding to 34113600 its reverse (631143), we get a palindrome (34744743).

The spelling of 34113600 in words is "thirty-four million, one hundred thirteen thousand, six hundred".