38266020 has 240 divisors, whose sum is σ = 136604160. Its totient is φ = 8895744.

The previous prime is 38266009. The next prime is 38266027. The reversal of 38266020 is 2066283.

38266020 is a `hidden beast` number, since 38 + 26 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38266027) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 484341 + ... + 484419.

It is an arithmetic number, because the mean of its divisors is an integer number (569184).

Almost surely, 2^38266020 is an apocalyptic number.

38266020 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 38266020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302080).

38266020 is an abundant number, since it is smaller than the sum of its proper divisors (98338140).

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

38266020 is a wasteful number, since it uses less digits than its factorization.

38266020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38266020 is about 6185.9534430838. The cubic root of 38266020 is about 336.9802369929.

The spelling of 38266020 in words is "thirty-eight million, two hundred sixty-six thousand, twenty".