34400720 has 20 divisors (see below), whose sum is σ = 79981860. Its totient is φ = 13760256.

The previous prime is 34400711. The next prime is 34400747. The reversal of 34400720 is 2700443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24840256 + 9560464 = 4984^2 + 3092^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×34400720³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34400692 and 34400701.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 214925 + ... + 215084.

It is an arithmetic number, because the mean of its divisors is an integer number (3999093).

Almost surely, 2^34400720 is an apocalyptic number.

It is an amenable number.

34400720 is an abundant number, since it is smaller than the sum of its proper divisors (45581140).

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

34400720 is a wasteful number, since it uses less digits than its factorization.

34400720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430022 (or 430016 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 34400720 is about 5865.2126986155. The cubic root of 34400720 is about 325.2289353433.

The spelling of 34400720 in words is "thirty-four million, four hundred thousand, seven hundred twenty".