340400400 has 120 divisors (see below), whose sum is σ = 1094986464. Its totient is φ = 90393600.

The previous prime is 340400393. The next prime is 340400413. The reversal of 340400400 is 4004043.

340400400 is digitally balanced in base 3, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 340400400.

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, 396772 + ... + 397628.

Almost surely, 2^340400400 is an apocalyptic number.

340400400 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 340400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547493232).

340400400 is an abundant number, since it is smaller than the sum of its proper divisors (754586064).

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

340400400 is a wasteful number, since it uses less digits than its factorization.

340400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 340400400 is about 18449.9430893431. The cubic root of 340400400 is about 698.2270780565.

Adding to 340400400 its reverse (4004043), we get a palindrome (344404443).

The spelling of 340400400 in words is "three hundred forty million, four hundred thousand, four hundred".