340018400 has 72 divisors (see below), whose sum is σ = 832618584. Its totient is φ = 135590400.

The previous prime is 340018397. The next prime is 340018409. The reversal of 340018400 is 4810043.

It is a super-2 number, since 2×340018400² = 231225024677120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340018409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514070 + ... + 514730.

It is an arithmetic number, because the mean of its divisors is an integer number (11564147).

Almost surely, 2^340018400 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 340018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416309292).

340018400 is an abundant number, since it is smaller than the sum of its proper divisors (492600184).

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

340018400 is a wasteful number, since it uses less digits than its factorization.

340018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 340018400 is about 18439.5878478886. The cubic root of 340018400 is about 697.9657949922.

Adding to 340018400 its reverse (4810043), we get a palindrome (344828443).

The spelling of 340018400 in words is "three hundred forty million, eighteen thousand, four hundred".