38034304 has 128 divisors (see below), whose sum is σ = 100465920. Its totient is φ = 13885440.

The previous prime is 38034301. The next prime is 38034307. The reversal of 38034304 is 40343083.

It is an interprime number because it is at equal distance from previous prime (38034301) and next prime (38034307).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38034301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167439 + ... + 167665.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 2^38034304 is an apocalyptic number.

38034304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232960).

38034304 is an abundant number, since it is smaller than the sum of its proper divisors (62431616).

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

38034304 is a wasteful number, since it uses less digits than its factorization.

38034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 38034304 is about 6167.1957971188. The cubic root of 38034304 is about 336.2986762218.

Adding to 38034304 its reverse (40343083), we get a palindrome (78377387).

The spelling of 38034304 in words is "thirty-eight million, thirty-four thousand, three hundred four".