34077320 has 48 divisors (see below), whose sum is σ = 79487460. Its totient is φ = 13147904.

The previous prime is 34077319. The next prime is 34077331. The reversal of 34077320 is 2377043.

It can be written as a sum of positive squares in 6 ways, for example, as 4418404 + 29658916 = 2102^2 + 5446^2 .

It is a super-2 number, since 2×34077320² = 2322527476764800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34077320.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33134 + ... + 34146.

Almost surely, 2^34077320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34077320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39743730).

34077320 is an abundant number, since it is smaller than the sum of its proper divisors (45410140).

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

34077320 is a wasteful number, since it uses less digits than its factorization.

34077320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 26.

The square root of 34077320 is about 5837.5782650000. The cubic root of 34077320 is about 324.2065694858.

The spelling of 34077320 in words is "thirty-four million, seventy-seven thousand, three hundred twenty".