34385376 has 24 divisors (see below), whose sum is σ = 90261864. Its totient is φ = 11461760.

The previous prime is 34385353. The next prime is 34385381. The reversal of 34385376 is 67358343.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×34385376⁴ (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 178995 + ... + 179186.

It is an arithmetic number, because the mean of its divisors is an integer number (3760911).

Almost surely, 2^34385376 is an apocalyptic number.

It is an amenable number.

34385376 is an abundant number, since it is smaller than the sum of its proper divisors (55876488).

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

34385376 is a wasteful number, since it uses less digits than its factorization.

34385376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358194 (or 358186 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 34385376 is about 5863.9045012688. The cubic root of 34385376 is about 325.1805734202.

The spelling of 34385376 in words is "thirty-four million, three hundred eighty-five thousand, three hundred seventy-six".