34376320 has 128 divisors (see below), whose sum is σ = 94737600. Its totient is φ = 11796480.

The previous prime is 34376299. The next prime is 34376351. The reversal of 34376320 is 2367343.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133632 + ... + 133888.

Almost surely, 2^34376320 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 34376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47368800).

34376320 is an abundant number, since it is smaller than the sum of its proper divisors (60361280).

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

34376320 is a wasteful number, since it uses less digits than its factorization.

34376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 34376320 is about 5863.1322686769. The cubic root of 34376320 is about 325.1520235522.

The spelling of 34376320 in words is "thirty-four million, three hundred seventy-six thousand, three hundred twenty".