34505400 has 96 divisors (see below), whose sum is σ = 108028800. Its totient is φ = 9110400.

The previous prime is 34505399. The next prime is 34505417. The reversal of 34505400 is 450543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78381 + ... + 78819.

It is an arithmetic number, because the mean of its divisors is an integer number (1125300).

Almost surely, 2^34505400 is an apocalyptic number.

34505400 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 34505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54014400).

34505400 is an abundant number, since it is smaller than the sum of its proper divisors (73523400).

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

34505400 is a wasteful number, since it uses less digits than its factorization.

34505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 34505400 is about 5874.1297227760. The cubic root of 34505400 is about 325.5584874643.

Adding to 34505400 its reverse (450543), we get a palindrome (34955943).

The spelling of 34505400 in words is "thirty-four million, five hundred five thousand, four hundred".