38178000 has 320 divisors, whose sum is σ = 157847040. Its totient is φ = 8640000.

The previous prime is 38177989. The next prime is 38178047. The reversal of 38178000 is 87183.

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 63 ways as a sum of consecutive naturals, for example, 377950 + ... + 378050.

It is an arithmetic number, because the mean of its divisors is an integer number (493272).

Almost surely, 2^38178000 is an apocalyptic number.

38178000 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 38178000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78923520).

38178000 is an abundant number, since it is smaller than the sum of its proper divisors (119669040).

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

38178000 is a wasteful number, since it uses less digits than its factorization.

38178000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 38178000 is about 6178.8348416186. The cubic root of 38178000 is about 336.7216631827.

The spelling of 38178000 in words is "thirty-eight million, one hundred seventy-eight thousand".