34316400 has 60 divisors (see below), whose sum is σ = 109930712. Its totient is φ = 9150720.

The previous prime is 34316383. The next prime is 34316419. The reversal of 34316400 is 461343.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

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, 13099 + ... + 15498.

Almost surely, 2^34316400 is an apocalyptic number.

34316400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34316400 is an abundant number, since it is smaller than the sum of its proper divisors (75614312).

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

34316400 is a wasteful number, since it uses less digits than its factorization.

34316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28618 (or 28607 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 34316400 is about 5858.0201433590. The cubic root of 34316400 is about 324.9629938141.

Adding to 34316400 its reverse (461343), we get a palindrome (34777743).

It can be divided in two parts, 34316 and 400, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 34316400 in words is "thirty-four million, three hundred sixteen thousand, four hundred".