38093040 has 120 divisors (see below), whose sum is σ = 129063168. Its totient is φ = 10068480.

The previous prime is 38093023. The next prime is 38093047. The reversal of 38093040 is 4039083.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 38092995 and 38093013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38093047) 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, 137382 + ... + 137658.

Almost surely, 2^38093040 is an apocalyptic number.

38093040 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 38093040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64531584).

38093040 is an abundant number, since it is smaller than the sum of its proper divisors (90970128).

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

38093040 is a wasteful number, since it uses less digits than its factorization.

38093040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

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

The square root of 38093040 is about 6171.9559298491. The cubic root of 38093040 is about 336.4717014267.

The spelling of 38093040 in words is "thirty-eight million, ninety-three thousand, forty".