38435540 has 96 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 12672000.

The previous prime is 38435533. The next prime is 38435561. The reversal of 38435540 is 4553483.

38435540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38435497 and 38435506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254465 + ... + 254615.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^38435540 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 38435540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

38435540 is an abundant number, since it is smaller than the sum of its proper divisors (58090540).

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

38435540 is a wasteful number, since it uses less digits than its factorization.

38435540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 38435540 is about 6199.6403121471. The cubic root of 38435540 is about 337.4771159610.

The spelling of 38435540 in words is "thirty-eight million, four hundred thirty-five thousand, five hundred forty".