38676000 has 192 divisors, whose sum is σ = 138692736. Its totient is φ = 9344000.

The previous prime is 38675983. The next prime is 38676023. The reversal of 38676000 is 67683.

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

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, 131854 + ... + 132146.

It is an arithmetic number, because the mean of its divisors is an integer number (722358).

Almost surely, 2^38676000 is an apocalyptic number.

38676000 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 38676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368).

38676000 is an abundant number, since it is smaller than the sum of its proper divisors (100016736).

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

38676000 is a wasteful number, since it uses less digits than its factorization.

38676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 38676000 is about 6219.0031355515. The cubic root of 38676000 is about 338.1794269268.

The spelling of 38676000 in words is "thirty-eight million, six hundred seventy-six thousand".