38414145 has 64 divisors (see below), whose sum is σ = 77783040. Its totient is φ = 15724800.

The previous prime is 38414119. The next prime is 38414147. The reversal of 38414145 is 54141483.

It is not a de Polignac number, because 38414145 - 2¹³ = 38405953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38414147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91035 + ... + 91455.

It is an arithmetic number, because the mean of its divisors is an integer number (1215360).

Almost surely, 2^38414145 is an apocalyptic number.

38414145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38414145 is an abundant number, since it is smaller than the sum of its proper divisors (39368895).

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

38414145 is a wasteful number, since it uses less digits than its factorization.

38414145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526.

The product of its digits is 7680, while the sum is 30.

The square root of 38414145 is about 6197.9145686271. The cubic root of 38414145 is about 337.4144858793.

It can be divided in two parts, 3 and 8414145, that added together give a palindrome (8414148).

The spelling of 38414145 in words is "thirty-eight million, four hundred fourteen thousand, one hundred forty-five".