38305644 has 96 divisors (see below), whose sum is σ = 101352384. Its totient is φ = 11182080.

The previous prime is 38305609. The next prime is 38305661. The reversal of 38305644 is 44650383.

38305644 = T₈₀ + T₈₁ + ... + T₆₁₂.

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, 338932 + ... + 339044.

It is an arithmetic number, because the mean of its divisors is an integer number (1055754).

Almost surely, 2^38305644 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 38305644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50676192).

38305644 is an abundant number, since it is smaller than the sum of its proper divisors (63046740).

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

38305644 is a wasteful number, since it uses less digits than its factorization.

38305644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 38305644 is about 6189.1553543274. The cubic root of 38305644 is about 337.0965098530.

The spelling of 38305644 in words is "thirty-eight million, three hundred five thousand, six hundred forty-four".