38199616 has 84 divisors (see below), whose sum is σ = 95062548. Its totient is φ = 15095808.

The previous prime is 38199613. The next prime is 38199647. The reversal of 38199616 is 61699183.

It can be written as a sum of positive squares in 2 ways, for example, as 3625216 + 34574400 = 1904^2 + 5880^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38199613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40300 + ... + 41236.

It is an arithmetic number, because the mean of its divisors is an integer number (1131697).

Almost surely, 2^38199616 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 38199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47531274).

38199616 is an abundant number, since it is smaller than the sum of its proper divisors (56862932).

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

38199616 is a wasteful number, since it uses less digits than its factorization.

38199616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 959 counting only the distinct ones).

The product of its digits is 69984, while the sum is 43.

The square root of 38199616 is about 6180.5837911964. The cubic root of 38199616 is about 336.7852006669.

The spelling of 38199616 in words is "thirty-eight million, one hundred ninety-nine thousand, six hundred sixteen".