38295000 has 240 divisors, whose sum is σ = 138893040. Its totient is φ = 9504000.

The previous prime is 38294987. The next prime is 38295001. The reversal of 38295000 is 59283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38295001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1034982 + ... + 1035018.

It is an arithmetic number, because the mean of its divisors is an integer number (578721).

Almost surely, 2^38295000 is an apocalyptic number.

38295000 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 38295000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69446520).

38295000 is an abundant number, since it is smaller than the sum of its proper divisors (100598040).

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

38295000 is a wasteful number, since it uses less digits than its factorization.

38295000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 38295000 is about 6188.2954034209. The cubic root of 38295000 is about 337.0652839268.

The spelling of 38295000 in words is "thirty-eight million, two hundred ninety-five thousand".