34037077 has 16 divisors (see below), whose sum is σ = 37748592. Its totient is φ = 30551040.

The previous prime is 34037063. The next prime is 34037083. The reversal of 34037077 is 77073043.

34037077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8726116 + 25310961 = 2954^2 + 5031^2 .

It is not a de Polignac number, because 34037077 - 2⁷ = 34036949 is a prime.

It is a super-2 number, since 2×34037077² = 2317045221407858, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34037777) 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 in 15 ways as a sum of consecutive naturals, for example, 32827 + ... + 33847.

It is an arithmetic number, because the mean of its divisors is an integer number (2359287).

Almost surely, 2^34037077 is an apocalyptic number.

34037077 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

34037077 is a deficient number, since it is larger than the sum of its proper divisors (3711515).

34037077 is a wasteful number, since it uses less digits than its factorization.

34037077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128.

The product of its (nonzero) digits is 12348, while the sum is 31.

The square root of 34037077 is about 5834.1303550744. The cubic root of 34037077 is about 324.0788972369.

The spelling of 34037077 in words is "thirty-four million, thirty-seven thousand, seventy-seven".