38866410 has 144 divisors (see below), whose sum is σ = 115026912. Its totient is φ = 9092160.

The previous prime is 38866397. The next prime is 38866433. The reversal of 38866410 is 1466883.

It is a happy number.

38866410 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 641 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 468229 + ... + 468311.

It is an arithmetic number, because the mean of its divisors is an integer number (798798).

Almost surely, 2^38866410 is an apocalyptic number.

38866410 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 38866410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57513456).

38866410 is an abundant number, since it is smaller than the sum of its proper divisors (76160502).

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

38866410 is a wasteful number, since it uses less digits than its factorization.

38866410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38866410 is about 6234.2930633713. The cubic root of 38866410 is about 338.7334945640.

It can be divided in two parts, 3886 and 6410, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 38866410 in words is "thirty-eight million, eight hundred sixty-six thousand, four hundred ten".