34039800 has 72 divisors (see below), whose sum is σ = 114323040. Its totient is φ = 9076800.

The previous prime is 34039783. The next prime is 34039801. The reversal of 34039800 is 893043.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34039801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7656 + ... + 11255.

It is an arithmetic number, because the mean of its divisors is an integer number (1587820).

Almost surely, 2^34039800 is an apocalyptic number.

34039800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34039800 is an abundant number, since it is smaller than the sum of its proper divisors (80283240).

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

34039800 is a wasteful number, since it uses less digits than its factorization.

34039800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18933 (or 18921 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34039800 is about 5834.3637185215. The cubic root of 34039800 is about 324.0875392178.

It can be divided in two parts, 3403 and 9800, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 34039800 in words is "thirty-four million, thirty-nine thousand, eight hundred".