34266384 has 120 divisors (see below), whose sum is σ = 100743552. Its totient is φ = 10863360.

The previous prime is 34266383. The next prime is 34266409. The reversal of 34266384 is 48366243.

It is a happy number.

It is a super-3 number, since 3×34266384³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34266383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412807 + ... + 412889.

Almost surely, 2^34266384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34266384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371776).

34266384 is an abundant number, since it is smaller than the sum of its proper divisors (66477168).

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

34266384 is a wasteful number, since it uses less digits than its factorization.

34266384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34266384 is about 5853.7495675849. The cubic root of 34266384 is about 324.8050396785.

The spelling of 34266384 in words is "thirty-four million, two hundred sixty-six thousand, three hundred eighty-four".