34840800 has 144 divisors (see below), whose sum is σ = 126085680. Its totient is φ = 9285120.

The previous prime is 34840789. The next prime is 34840823. The reversal of 34840800 is 804843.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 20794 + ... + 22406.

It is an arithmetic number, because the mean of its divisors is an integer number (875595).

Almost surely, 2^34840800 is an apocalyptic number.

34840800 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 34840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63042840).

34840800 is an abundant number, since it is smaller than the sum of its proper divisors (91244880).

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

34840800 is a wasteful number, since it uses less digits than its factorization.

34840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34840800 is about 5902.6095923752. The cubic root of 34840800 is about 326.6099211905.

The spelling of 34840800 in words is "thirty-four million, eight hundred forty thousand, eight hundred".