34168800 has 144 divisors (see below), whose sum is σ = 116242560. Its totient is φ = 8701440.

The previous prime is 34168787. The next prime is 34168807. The reversal of 34168800 is 886143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34168807) 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, 54891 + ... + 55509.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 2^34168800 is an apocalyptic number.

34168800 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 34168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121280).

34168800 is an abundant number, since it is smaller than the sum of its proper divisors (82073760).

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

34168800 is a wasteful number, since it uses less digits than its factorization.

34168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 34168800 is about 5845.4084545051. The cubic root of 34168800 is about 324.4964193264.

The spelling of 34168800 in words is "thirty-four million, one hundred sixty-eight thousand, eight hundred".