38288040 has 128 divisors (see below), whose sum is σ = 138240000. Its totient is φ = 8287488.

The previous prime is 38288023. The next prime is 38288057. The reversal of 38288040 is 4088283.

It is an interprime number because it is at equal distance from previous prime (38288023) and next prime (38288057).

It is a junction number, because it is equal to n+sod(n) for n = 38287992 and 38288010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14761 + ... + 17159.

It is an arithmetic number, because the mean of its divisors is an integer number (1080000).

Almost surely, 2^38288040 is an apocalyptic number.

38288040 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 38288040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120000).

38288040 is an abundant number, since it is smaller than the sum of its proper divisors (99951960).

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

38288040 is a wasteful number, since it uses less digits than its factorization.

38288040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 38288040 is about 6187.7330259151. The cubic root of 38288040 is about 337.0448624922.

The spelling of 38288040 in words is "thirty-eight million, two hundred eighty-eight thousand, forty".