34064910 has 96 divisors (see below), whose sum is σ = 101761920. Its totient is φ = 7819200.

The previous prime is 34064903. The next prime is 34064917. The reversal of 34064910 is 1946043.

34064910 is a `hidden beast` number, since 3 + 4 + 0 + 649 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (34064903) and next prime (34064917).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34064917) 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 47 ways as a sum of consecutive naturals, for example, 17905 + ... + 19715.

It is an arithmetic number, because the mean of its divisors is an integer number (1060020).

Almost surely, 2^34064910 is an apocalyptic number.

34064910 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34064910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50880960).

34064910 is an abundant number, since it is smaller than the sum of its proper divisors (67697010).

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

34064910 is a wasteful number, since it uses less digits than its factorization.

34064910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34064910 is about 5836.5152274281. The cubic root of 34064910 is about 324.1672090741.

The spelling of 34064910 in words is "thirty-four million, sixty-four thousand, nine hundred ten".