38038770 has 144 divisors (see below), whose sum is σ = 124488000. Its totient is φ = 7888320.

The previous prime is 38038751. The next prime is 38038771. The reversal of 38038770 is 7783083.

It is a super-2 number, since 2×38038770² = 2893896046225800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38038771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75981 + ... + 76479.

It is an arithmetic number, because the mean of its divisors is an integer number (864500).

Almost surely, 2^38038770 is an apocalyptic number.

38038770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38038770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244000).

38038770 is an abundant number, since it is smaller than the sum of its proper divisors (86449230).

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

38038770 is a wasteful number, since it uses less digits than its factorization.

38038770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 38038770 is about 6167.5578635308. The cubic root of 38038770 is about 336.3118384723.

The spelling of 38038770 in words is "thirty-eight million, thirty-eight thousand, seven hundred seventy".