34038966 has 24 divisors (see below), whose sum is σ = 73719720. Its totient is φ = 10473216.

The previous prime is 34038959. The next prime is 34038971. The reversal of 34038966 is 66983043.

It is a super-3 number, since 3×34038966³ (a number of 24 digits) contains 333 as substring.

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 Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15771 + ... + 17798.

It is an arithmetic number, because the mean of its divisors is an integer number (3071655).

Almost surely, 2^34038966 is an apocalyptic number.

34038966 is an abundant number, since it is smaller than the sum of its proper divisors (39680754).

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

34038966 is a wasteful number, since it uses less digits than its factorization.

34038966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33600 (or 33587 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 34038966 is about 5834.2922449942. The cubic root of 34038966 is about 324.0848924023.

The spelling of 34038966 in words is "thirty-four million, thirty-eight thousand, nine hundred sixty-six".