34038225 has 72 divisors (see below), whose sum is σ = 68245632. Its totient is φ = 16718400.

The previous prime is 34038223. The next prime is 34038227. The reversal of 34038225 is 52283043.

It is an interprime number because it is at equal distance from previous prime (34038223) and next prime (34038227).

It is not a de Polignac number, because 34038225 - 2¹ = 34038223 is a prime.

It is a super-2 number, since 2×34038225² = 2317201522301250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34038223) 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 71 ways as a sum of consecutive naturals, for example, 78760 + ... + 79190.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^34038225 is an apocalyptic number.

It is an amenable number.

34038225 is an abundant number, since it is smaller than the sum of its proper divisors (34207407).

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

34038225 is a wasteful number, since it uses less digits than its factorization.

34038225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34038225 is about 5834.2287408020. The cubic root of 34038225 is about 324.0825406989.

It can be divided in two parts, 3403 and 8225, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 34038225 in words is "thirty-four million, thirty-eight thousand, two hundred twenty-five".