34361300 has 72 divisors (see below), whose sum is σ = 78140832. Its totient is φ = 13104000.

The previous prime is 34361297. The next prime is 34361303. The reversal of 34361300 is 316343.

It is an interprime number because it is at equal distance from previous prime (34361297) and next prime (34361303).

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 (34361303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262235 + ... + 262365.

Almost surely, 2^34361300 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 34361300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070416).

34361300 is an abundant number, since it is smaller than the sum of its proper divisors (43779532).

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

34361300 is a wasteful number, since it uses less digits than its factorization.

34361300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 34361300 is about 5861.8512434213. The cubic root of 34361300 is about 325.1046605724.

Adding to 34361300 its reverse (316343), we get a palindrome (34677643).

The spelling of 34361300 in words is "thirty-four million, three hundred sixty-one thousand, three hundred".