34509400 has 48 divisors (see below), whose sum is σ = 81021600. Its totient is φ = 13668480.

The previous prime is 34509383. The next prime is 34509401. The reversal of 34509400 is 490543.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34509401) 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, 21009 + ... + 22591.

It is an arithmetic number, because the mean of its divisors is an integer number (1687950).

Almost surely, 2^34509400 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 34509400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40510800).

34509400 is an abundant number, since it is smaller than the sum of its proper divisors (46512200).

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

34509400 is a wasteful number, since it uses less digits than its factorization.

34509400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 34509400 is about 5874.4701888766. The cubic root of 34509400 is about 325.5710669797.

Adding to 34509400 its reverse (490543), we get a palindrome (34999943).

The spelling of 34509400 in words is "thirty-four million, five hundred nine thousand, four hundred".