34284075 has 72 divisors (see below), whose sum is σ = 69549120. Its totient is φ = 14817600.

The previous prime is 34284073. The next prime is 34284079. The reversal of 34284075 is 57048243.

It is not a de Polignac number, because 34284075 - 2¹ = 34284073 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34284071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69580 + ... + 70070.

It is an arithmetic number, because the mean of its divisors is an integer number (965960).

Almost surely, 2^34284075 is an apocalyptic number.

34284075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34284075 is an abundant number, since it is smaller than the sum of its proper divisors (35265045).

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

34284075 is a wasteful number, since it uses less digits than its factorization.

34284075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 34284075 is about 5855.2604553512. The cubic root of 34284075 is about 324.8609266898.

It can be divided in two parts, 3428 and 4075, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 34284075 in words is "thirty-four million, two hundred eighty-four thousand, seventy-five".