34400680 has 32 divisors (see below), whose sum is σ = 77574600. Its totient is φ = 13729536.

The previous prime is 34400651. The next prime is 34400683. The reversal of 34400680 is 8600443.

It can be written as a sum of positive squares in 4 ways, for example, as 11303044 + 23097636 = 3362^2 + 4806^2 .

It is not an unprimeable number, because it can be changed into a prime (34400683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27754 + ... + 28966.

Almost surely, 2^34400680 is an apocalyptic number.

It is an amenable number.

34400680 is an abundant number, since it is smaller than the sum of its proper divisors (43173920).

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

34400680 is a wasteful number, since it uses less digits than its factorization.

34400680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 34400680 is about 5865.2092886785. The cubic root of 34400680 is about 325.2288092881.

The spelling of 34400680 in words is "thirty-four million, four hundred thousand, six hundred eighty".