34046144 has 56 divisors (see below), whose sum is σ = 74450448. Its totient is φ = 15319040.

The previous prime is 34046143. The next prime is 34046147. The reversal of 34046144 is 44164043.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34046143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96272 + ... + 96624.

Almost surely, 2^34046144 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 34046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37225224).

34046144 is an abundant number, since it is smaller than the sum of its proper divisors (40404304).

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

34046144 is a wasteful number, since it uses less digits than its factorization.

34046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 34046144 is about 5834.9073685878. The cubic root of 34046144 is about 324.1076713732.

The spelling of 34046144 in words is "thirty-four million, forty-six thousand, one hundred forty-four".