38184240 has 80 divisors (see below), whose sum is σ = 118965600. Its totient is φ = 10131456.

The previous prime is 38184191. The next prime is 38184241. The reversal of 38184240 is 4248183.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 38184198 and 38184207.

It is not an unprimeable number, because it can be changed into a prime (38184241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93156 + ... + 93564.

It is an arithmetic number, because the mean of its divisors is an integer number (1487070).

Almost surely, 2^38184240 is an apocalyptic number.

38184240 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 38184240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59482800).

38184240 is an abundant number, since it is smaller than the sum of its proper divisors (80781360).

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

38184240 is a wasteful number, since it uses less digits than its factorization.

38184240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 38184240 is about 6179.3397705580. The cubic root of 38184240 is about 336.7400073313.

The spelling of 38184240 in words is "thirty-eight million, one hundred eighty-four thousand, two hundred forty".