38166240 has 192 divisors, whose sum is σ = 141571584. Its totient is φ = 8460288.

The previous prime is 38166217. The next prime is 38166253. The reversal of 38166240 is 4266183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38166198 and 38166207.

It is a congruent number.

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, 124167 + ... + 124473.

It is an arithmetic number, because the mean of its divisors is an integer number (737352).

Almost surely, 2^38166240 is an apocalyptic number.

38166240 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 38166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70785792).

38166240 is an abundant number, since it is smaller than the sum of its proper divisors (103405344).

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

38166240 is a wasteful number, since it uses less digits than its factorization.

38166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38166240 is about 6177.8831325949. The cubic root of 38166240 is about 336.6870860841.

The spelling of 38166240 in words is "thirty-eight million, one hundred sixty-six thousand, two hundred forty".