38382600 has 192 divisors, whose sum is σ = 130170240. Its totient is φ = 9318400.

The previous prime is 38382587. The next prime is 38382611. The reversal of 38382600 is 628383.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540565 + ... + 540635.

It is an arithmetic number, because the mean of its divisors is an integer number (677970).

Almost surely, 2^38382600 is an apocalyptic number.

38382600 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 38382600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65085120).

38382600 is an abundant number, since it is smaller than the sum of its proper divisors (91787640).

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

38382600 is a wasteful number, since it uses less digits than its factorization.

38382600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

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

The square root of 38382600 is about 6195.3692383909. The cubic root of 38382600 is about 337.3221010319.

The spelling of 38382600 in words is "thirty-eight million, three hundred eighty-two thousand, six hundred".