38584000 has 224 divisors, whose sum is σ = 119822976. Its totient is φ = 11980800.

The previous prime is 38583991. The next prime is 38584009. The reversal of 38584000 is 48583.

It is an interprime number because it is at equal distance from previous prime (38583991) and next prime (38584009).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 38584000.

It is not an unprimeable number, because it can be changed into a prime (38584009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727974 + ... + 728026.

It is an arithmetic number, because the mean of its divisors is an integer number (534924).

Almost surely, 2^38584000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

38584000 is an abundant number, since it is smaller than the sum of its proper divisors (81238976).

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

38584000 is a wasteful number, since it uses less digits than its factorization.

38584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 38584000 is about 6211.6020477812. The cubic root of 38584000 is about 337.9110674842.

The spelling of 38584000 in words is "thirty-eight million, five hundred eighty-four thousand".