38417040 has 120 divisors (see below), whose sum is σ = 130136760. Its totient is φ = 10156032.

The previous prime is 38417033. The next prime is 38417047. The reversal of 38417040 is 4071483.

It is an interprime number because it is at equal distance from previous prime (38417033) and next prime (38417047).

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 31945104 = 2544^2 + 5652^2 .

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 = 38416995 and 38417013.

It is not an unprimeable number, because it can be changed into a prime (38417047) 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, 164764 + ... + 164996.

It is an arithmetic number, because the mean of its divisors is an integer number (1084473).

Almost surely, 2^38417040 is an apocalyptic number.

38417040 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 38417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65068380).

38417040 is an abundant number, since it is smaller than the sum of its proper divisors (91719720).

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

38417040 is a wasteful number, since it uses less digits than its factorization.

38417040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 38417040 is about 6198.1481105246. The cubic root of 38417040 is about 337.4229618404.

It can be divided in two parts, 384 and 17040, that added together give a square (17424 = 132²).

The spelling of 38417040 in words is "thirty-eight million, four hundred seventeen thousand, forty".