38416365 has 48 divisors (see below), whose sum is σ = 72556848. Its totient is φ = 18690048.

The previous prime is 38416351. The next prime is 38416369. The reversal of 38416365 is 56361483.

It can be written as a sum of positive squares in 8 ways, for example, as 149769 + 38266596 = 387^2 + 6186^2 .

It is not a de Polignac number, because 38416365 - 2⁵ = 38416333 is a prime.

It is a super-4 number, since 4×38416365⁴ (a number of 31 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38416369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56407 + ... + 57083.

It is an arithmetic number, because the mean of its divisors is an integer number (1511601).

Almost surely, 2^38416365 is an apocalyptic number.

It is an amenable number.

38416365 is a deficient number, since it is larger than the sum of its proper divisors (34140483).

38416365 is a wasteful number, since it uses less digits than its factorization.

38416365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 795 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 38416365 is about 6198.0936585373. The cubic root of 38416365 is about 337.4209856181.

It can be divided in two parts, 38416 and 365, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 38416365 in words is "thirty-eight million, four hundred sixteen thousand, three hundred sixty-five".