34475400 has 144 divisors (see below), whose sum is σ = 117514800. Its totient is φ = 9056640.

The previous prime is 34475381. The next prime is 34475407. The reversal of 34475400 is 457443.

It is not an unprimeable number, because it can be changed into a prime (34475407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192511 + ... + 192689.

It is an arithmetic number, because the mean of its divisors is an integer number (816075).

Almost surely, 2^34475400 is an apocalyptic number.

34475400 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 34475400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58757400).

34475400 is an abundant number, since it is smaller than the sum of its proper divisors (83039400).

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

34475400 is a wasteful number, since it uses less digits than its factorization.

34475400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34475400 is about 5871.5755977421. The cubic root of 34475400 is about 325.4641100964.

The spelling of 34475400 in words is "thirty-four million, four hundred seventy-five thousand, four hundred".