34457040 has 60 divisors (see below), whose sum is σ = 115720644. Its totient is φ = 9188352.

The previous prime is 34457039. The next prime is 34457041. The reversal of 34457040 is 4075443.

It is an interprime number because it is at equal distance from previous prime (34457039) and next prime (34457041).

It can be written as a sum of positive squares in 2 ways, for example, as 15586704 + 18870336 = 3948^2 + 4344^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34456995 and 34457013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457041) 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 11 ways as a sum of consecutive naturals, for example, 23209 + ... + 24648.

Almost surely, 2^34457040 is an apocalyptic number.

34457040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34457040 is an abundant number, since it is smaller than the sum of its proper divisors (81263604).

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

34457040 is a wasteful number, since it uses less digits than its factorization.

34457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47876 (or 47867 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34457040 is about 5870.0119250305. The cubic root of 34457040 is about 325.4063241376.

The spelling of 34457040 in words is "thirty-four million, four hundred fifty-seven thousand, forty".