38016405 has 64 divisors (see below), whose sum is σ = 78912000. Its totient is φ = 17357760.

The previous prime is 38016383. The next prime is 38016409. The reversal of 38016405 is 50461083.

It is not a de Polignac number, because 38016405 - 2⁸ = 38016149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38016409) 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, 45895 + ... + 46715.

It is an arithmetic number, because the mean of its divisors is an integer number (1233000).

Almost surely, 2^38016405 is an apocalyptic number.

38016405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38016405 is an abundant number, since it is smaller than the sum of its proper divisors (40895595).

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

38016405 is an equidigital number, since it uses as much as digits as its factorization.

38016405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38016405 is about 6165.7444805960. The cubic root of 38016405 is about 336.2459137253.

Adding to 38016405 its reverse (50461083), we get a palindrome (88477488).

The spelling of 38016405 in words is "thirty-eight million, sixteen thousand, four hundred five".