34016800 has 72 divisors (see below), whose sum is σ = 84064932. Its totient is φ = 13440000.

The previous prime is 34016791. The next prime is 34016819. The reversal of 34016800 is 861043.

It can be written as a sum of positive squares in 6 ways, for example, as 10163344 + 23853456 = 3188^2 + 4884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80590 + ... + 81010.

Almost surely, 2^34016800 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 34016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42032466).

34016800 is an abundant number, since it is smaller than the sum of its proper divisors (50048132).

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

34016800 is a wasteful number, since it uses less digits than its factorization.

34016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 34016800 is about 5832.3923050494. The cubic root of 34016800 is about 324.0145296538.

Adding to 34016800 its reverse (861043), we get a palindrome (34877843).

It can be divided in two parts, 3401 and 6800, that added together give a palindrome (10201).

The spelling of 34016800 in words is "thirty-four million, sixteen thousand, eight hundred".