34077312 has 48 divisors (see below), whose sum is σ = 98064330. Its totient is φ = 11358720.

The previous prime is 34077311. The next prime is 34077319. The reversal of 34077312 is 21377043.

34077312 is a `hidden beast` number, since 340 + 7 + 7 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25644096 + 8433216 = 5064^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34077312² = 2322526386290688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34077311) 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 5 ways as a sum of consecutive naturals, for example, 13639 + ... + 15942.

Almost surely, 2^34077312 is an apocalyptic number.

34077312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34077312 is an abundant number, since it is smaller than the sum of its proper divisors (63987018).

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

34077312 is a wasteful number, since it uses less digits than its factorization.

34077312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29601 (or 29586 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 34077312 is about 5837.5775797843. The cubic root of 34077312 is about 324.2065441155.

The spelling of 34077312 in words is "thirty-four million, seventy-seven thousand, three hundred twelve".