38785992 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 10112256.

The previous prime is 38785987. The next prime is 38785997. The reversal of 38785992 is 29958783.

It is an interprime number because it is at equal distance from previous prime (38785987) and next prime (38785997).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38785997) 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, 92359 + ... + 92777.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 2^38785992 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 38785992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

38785992 is an abundant number, since it is smaller than the sum of its proper divisors (82174008).

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

38785992 is a wasteful number, since it uses less digits than its factorization.

38785992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 38785992 is about 6227.8400750180. The cubic root of 38785992 is about 338.4997101788.

It can be divided in two parts, 3878 and 5992, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 38785992 in words is "thirty-eight million, seven hundred eighty-five thousand, nine hundred ninety-two".