38459040 has 96 divisors (see below), whose sum is σ = 127552320. Its totient is φ = 9713664.

The previous prime is 38459033. The next prime is 38459053. The reversal of 38459040 is 4095483.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 38458992 and 38459010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7012 + ... + 11228.

It is an arithmetic number, because the mean of its divisors is an integer number (1328670).

Almost surely, 2^38459040 is an apocalyptic number.

38459040 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 38459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63776160).

38459040 is an abundant number, since it is smaller than the sum of its proper divisors (89093280).

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

38459040 is a wasteful number, since it uses less digits than its factorization.

38459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 38459040 is about 6201.5352937801. The cubic root of 38459040 is about 337.5458812796.

The spelling of 38459040 in words is "thirty-eight million, four hundred fifty-nine thousand, forty".