34495200 has 144 divisors (see below), whose sum is σ = 124835760. Its totient is φ = 9192960.

The previous prime is 34495199. The next prime is 34495217. The reversal of 34495200 is 259443.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20802 + ... + 22398.

It is an arithmetic number, because the mean of its divisors is an integer number (866915).

Almost surely, 2^34495200 is an apocalyptic number.

34495200 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 34495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62417880).

34495200 is an abundant number, since it is smaller than the sum of its proper divisors (90340560).

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

34495200 is a wasteful number, since it uses less digits than its factorization.

34495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34495200 is about 5873.2614448873. The cubic root of 34495200 is about 325.5264052991.

It can be divided in two parts, 3449 and 5200, that added together give a square (8649 = 93²).

The spelling of 34495200 in words is "thirty-four million, four hundred ninety-five thousand, two hundred".