34038144 has 240 divisors, whose sum is σ = 119593980. Its totient is φ = 9580032.

The previous prime is 34038143. The next prime is 34038157. The reversal of 34038144 is 44183043.

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 (34038143) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507999 + ... + 508065.

Almost surely, 2^34038144 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 34038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59796990).

34038144 is an abundant number, since it is smaller than the sum of its proper divisors (85555836).

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

34038144 is an equidigital number, since it uses as much as digits as its factorization.

34038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34038144 is about 5834.2217990063. The cubic root of 34038144 is about 324.0822836281.

The spelling of 34038144 in words is "thirty-four million, thirty-eight thousand, one hundred forty-four".