34220400 has 60 divisors (see below), whose sum is σ = 109623192. Its totient is φ = 9125120.

The previous prime is 34220399. The next prime is 34220401. The reversal of 34220400 is 402243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34220399) and next prime (34220401).

It is a tau number, because it is divible by the number of its divisors (60).

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 34220400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220401) 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, 13059 + ... + 15458.

Almost surely, 2^34220400 is an apocalyptic number.

34220400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34220400 is an abundant number, since it is smaller than the sum of its proper divisors (75402792).

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

34220400 is a wasteful number, since it uses less digits than its factorization.

34220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28538 (or 28527 counting only the distinct ones).

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

The square root of 34220400 is about 5849.8205100670. The cubic root of 34220400 is about 324.6596832167.

Adding to 34220400 its reverse (402243), we get a palindrome (34622643).

The spelling of 34220400 in words is "thirty-four million, two hundred twenty thousand, four hundred".