34077360 has 80 divisors (see below), whose sum is σ = 106707456. Its totient is φ = 8995584.

The previous prime is 34077347. The next prime is 34077377. The reversal of 34077360 is 6377043.

34077360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34077360² = 2322532929139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 25017 + ... + 26343.

Almost surely, 2^34077360 is an apocalyptic number.

34077360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34077360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53353728).

34077360 is an abundant number, since it is smaller than the sum of its proper divisors (72630096).

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

34077360 is a wasteful number, since it uses less digits than its factorization.

34077360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 34077360 is about 5837.5816910772. The cubic root of 34077360 is about 324.2066963371.

The spelling of 34077360 in words is "thirty-four million, seventy-seven thousand, three hundred sixty".