34400000 has 108 divisors (see below), whose sum is σ = 87822504. Its totient is φ = 13440000.

The previous prime is 34399999. The next prime is 34400017. The reversal of 34400000 is 443.

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, 799979 + ... + 800021.

Almost surely, 2^34400000 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 34400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43911252).

34400000 is an abundant number, since it is smaller than the sum of its proper divisors (53422504).

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

34400000 is an frugal number, since it uses more digits than its factorization.

34400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 34400000 is about 5865.1513194461. The cubic root of 34400000 is about 325.2266663358.

Adding to 34400000 its reverse (443), we get a palindrome (34400443).

The spelling of 34400000 in words is "thirty-four million, four hundred thousand".