38820600 has 384 divisors, whose sum is σ = 166656000. Its totient is φ = 8087040.

The previous prime is 38820581. The next prime is 38820611. The reversal of 38820600 is 602883.

38820600 is a `hidden beast` number, since 38 + 8 + 20 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491361 + ... + 491439.

It is an arithmetic number, because the mean of its divisors is an integer number (434000).

Almost surely, 2^38820600 is an apocalyptic number.

38820600 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 38820600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328000).

38820600 is an abundant number, since it is smaller than the sum of its proper divisors (127835400).

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

38820600 is a wasteful number, since it uses less digits than its factorization.

38820600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38820600 is about 6230.6179468814. The cubic root of 38820600 is about 338.6003591915.

The spelling of 38820600 in words is "thirty-eight million, eight hundred twenty thousand, six hundred".