34249600 has 192 divisors, whose sum is σ = 106243200. Its totient is φ = 10598400.

The previous prime is 34249597. The next prime is 34249601. The reversal of 34249600 is 694243.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34249601) 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, 246331 + ... + 246469.

It is an arithmetic number, because the mean of its divisors is an integer number (553350).

Almost surely, 2^34249600 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 34249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

34249600 is an abundant number, since it is smaller than the sum of its proper divisors (71993600).

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

34249600 is a wasteful number, since it uses less digits than its factorization.

34249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 34249600 is about 5852.3157809537. The cubic root of 34249600 is about 324.7520001544.

The spelling of 34249600 in words is "thirty-four million, two hundred forty-nine thousand, six hundred".