38135040 has 72 divisors (see below), whose sum is σ = 121806048. Its totient is φ = 10168320.

The previous prime is 38135039. The next prime is 38135047. The reversal of 38135040 is 4053183.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38135040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38135047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1126 + ... + 8805.

Almost surely, 2^38135040 is an apocalyptic number.

38135040 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 38135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60903024).

38135040 is an abundant number, since it is smaller than the sum of its proper divisors (83671008).

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

38135040 is an equidigital number, since it uses as much as digits as its factorization.

38135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9955 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 38135040 is about 6175.3574795310. The cubic root of 38135040 is about 336.5953164921.

The spelling of 38135040 in words is "thirty-eight million, one hundred thirty-five thousand, forty".