34400753 has 2 divisors, whose sum is σ = 34400754. Its totient is φ = 34400752.

The previous prime is 34400749. The next prime is 34400771. The reversal of 34400753 is 35700443.

34400753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24522304 + 9878449 = 4952^2 + 3143^2 .

It is a cyclic number.

It is not a de Polignac number, because 34400753 - 2² = 34400749 is a prime.

It is a super-3 number, since 3×34400753³ (a number of 24 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34400783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17200376 + 17200377.

It is an arithmetic number, because the mean of its divisors is an integer number (17200377).

Almost surely, 2^34400753 is an apocalyptic number.

It is an amenable number.

34400753 is a deficient number, since it is larger than the sum of its proper divisors (1).

34400753 is an equidigital number, since it uses as much as digits as its factorization.

34400753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 34400753 is about 5865.2155118120. The cubic root of 34400753 is about 325.2290393387.

It can be divided in two parts, 34400 and 753, that added together give a palindrome (35153).

The spelling of 34400753 in words is "thirty-four million, four hundred thousand, seven hundred fifty-three".