38205992 has 48 divisors (see below), whose sum is σ = 81515700. Its totient is φ = 16755200.

The previous prime is 38205991. The next prime is 38206033. The reversal of 38205992 is 29950283.

It can be written as a sum of positive squares in 2 ways, for example, as 37136836 + 1069156 = 6094^2 + 1034^2 .

It is not an unprimeable number, because it can be changed into a prime (38205991) 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, 27392 + ... + 28752.

Almost surely, 2^38205992 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 38205992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40757850).

38205992 is an abundant number, since it is smaller than the sum of its proper divisors (43309708).

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

38205992 is a wasteful number, since it uses less digits than its factorization.

38205992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 38205992 is about 6181.0995785540. The cubic root of 38205992 is about 336.8039375305.

The spelling of 38205992 in words is "thirty-eight million, two hundred five thousand, nine hundred ninety-two".