38910144 has 224 divisors, whose sum is σ = 135184896. Its totient is φ = 9584640.

The previous prime is 38910139. The next prime is 38910163. The reversal of 38910144 is 44101983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×38910144² = 3027998612201472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296959 + ... + 297089.

It is an arithmetic number, because the mean of its divisors is an integer number (603504).

Almost surely, 2^38910144 is an apocalyptic number.

38910144 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 38910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67592448).

38910144 is an abundant number, since it is smaller than the sum of its proper divisors (96274752).

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

38910144 is a wasteful number, since it uses less digits than its factorization.

38910144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 38910144 is about 6237.7996120427. The cubic root of 38910144 is about 338.8604989844.

The spelling of 38910144 in words is "thirty-eight million, nine hundred ten thousand, one hundred forty-four".