38034720 has 144 divisors (see below), whose sum is σ = 132225912. Its totient is φ = 9953280.

The previous prime is 38034719. The next prime is 38034727. The reversal of 38034720 is 2743083.

It can be written as a sum of positive squares in 4 ways, for example, as 11532816 + 26501904 = 3396^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) 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 (38034727) 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, 87624 + ... + 88056.

Almost surely, 2^38034720 is an apocalyptic number.

38034720 is a gapful number since it is divisible by the number (30) 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 38034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66112956).

38034720 is an abundant number, since it is smaller than the sum of its proper divisors (94191192).

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

38034720 is a wasteful number, since it uses less digits than its factorization.

38034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 38034720 is about 6167.2295238624. The cubic root of 38034720 is about 336.2999023057.

The spelling of 38034720 in words is "thirty-eight million, thirty-four thousand, seven hundred twenty".