38039040 has 240 divisors, whose sum is σ = 142990848. Its totient is φ = 9289728.

The previous prime is 38039017. The next prime is 38039041. The reversal of 38039040 is 4093083.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 38038995 and 38039013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38039041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299457 + ... + 299583.

Almost surely, 2^38039040 is an apocalyptic number.

38039040 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 38039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

38039040 is an abundant number, since it is smaller than the sum of its proper divisors (104951808).

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

38039040 is a wasteful number, since it uses less digits than its factorization.

38039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 38039040 is about 6167.5797522205. The cubic root of 38039040 is about 336.3126341866.

The spelling of 38039040 in words is "thirty-eight million, thirty-nine thousand, forty".