34425200 has 60 divisors (see below), whose sum is σ = 83722320. Its totient is φ = 13601280.

The previous prime is 34425191. The next prime is 34425239. The reversal of 34425200 is 252443.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35117 + ... + 36083.

It is an arithmetic number, because the mean of its divisors is an integer number (1395372).

Almost surely, 2^34425200 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 34425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41861160).

34425200 is an abundant number, since it is smaller than the sum of its proper divisors (49297120).

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

34425200 is a wasteful number, since it uses less digits than its factorization.

34425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 34425200 is about 5867.2992083240. The cubic root of 34425200 is about 325.3060627654.

Adding to 34425200 its reverse (252443), we get a palindrome (34677643).

The spelling of 34425200 in words is "thirty-four million, four hundred twenty-five thousand, two hundred".