34714200 has 96 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 9052800.

The previous prime is 34714151. The next prime is 34714213. The reversal of 34714200 is 241743.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27585 + ... + 28815.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 2^34714200 is an apocalyptic number.

34714200 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 34714200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

34714200 is an abundant number, since it is smaller than the sum of its proper divisors (75278760).

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

34714200 is a wasteful number, since it uses less digits than its factorization.

34714200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 34714200 is about 5891.8757624376. The cubic root of 34714200 is about 326.2138434117.

Adding to 34714200 its reverse (241743), we get a palindrome (34955943).

The spelling of 34714200 in words is "thirty-four million, seven hundred fourteen thousand, two hundred".