340034400 has 216 divisors, whose sum is σ = 1215625320. Its totient is φ = 89425920.

The previous prime is 340034363. The next prime is 340034417. The reversal of 340034400 is 4430043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 597316 + ... + 597884.

It is an arithmetic number, because the mean of its divisors is an integer number (5627895).

Almost surely, 2^340034400 is an apocalyptic number.

340034400 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 340034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607812660).

340034400 is an abundant number, since it is smaller than the sum of its proper divisors (875590920).

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

340034400 is a wasteful number, since it uses less digits than its factorization.

340034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 340034400 is about 18440.0216919612. The cubic root of 340034400 is about 697.9767427110.

Adding to 340034400 its reverse (4430043), we get a palindrome (344464443).

The spelling of 340034400 in words is "three hundred forty million, thirty-four thousand, four hundred".