34144092 has 60 divisors (see below), whose sum is σ = 94525200. Its totient is φ = 10710144.

The previous prime is 34144073. The next prime is 34144093. The reversal of 34144092 is 29044143.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144093) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2409 + ... + 8607.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 2^34144092 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 34144092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47262600).

34144092 is an abundant number, since it is smaller than the sum of its proper divisors (60381108).

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

34144092 is a wasteful number, since it uses less digits than its factorization.

34144092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34144092 is about 5843.2946186206. The cubic root of 34144092 is about 324.4181843004.

The spelling of 34144092 in words is "thirty-four million, one hundred forty-four thousand, ninety-two".