340022400 has 96 divisors (see below), whose sum is σ = 1119980400. Its totient is φ = 90670080.

The previous prime is 340022383. The next prime is 340022407. The reversal of 340022400 is 4220043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 340022400.

It is not an unprimeable number, because it can be changed into a prime (340022407) 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, 8110 + ... + 27309.

Almost surely, 2^340022400 is an apocalyptic number.

340022400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340022400 is an abundant number, since it is smaller than the sum of its proper divisors (779958000).

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

340022400 is a wasteful number, since it uses less digits than its factorization.

340022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35446 (or 35429 counting only the distinct ones).

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

The square root of 340022400 is about 18439.6963098637. The cubic root of 340022400 is about 697.9685319541.

Adding to 340022400 its reverse (4220043), we get a palindrome (344242443).

The spelling of 340022400 in words is "three hundred forty million, twenty-two thousand, four hundred".