34844400 has 90 divisors (see below), whose sum is σ = 120932240. Its totient is φ = 9290880.

The previous prime is 34844387. The next prime is 34844477. The reversal of 34844400 is 444843.

34844400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×34844400² = 2428264422720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1240 + ... + 8439.

Almost surely, 2^34844400 is an apocalyptic number.

34844400 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 34844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60466120).

34844400 is an abundant number, since it is smaller than the sum of its proper divisors (86087840).

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

34844400 is a wasteful number, since it uses less digits than its factorization.

34844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703 (or 9689 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 34844400 is about 5902.9145343635. The cubic root of 34844400 is about 326.6211700254.

The spelling of 34844400 in words is "thirty-four million, eight hundred forty-four thousand, four hundred".