38014416 has 120 divisors (see below), whose sum is σ = 117688896. Its totient is φ = 11358720.

The previous prime is 38014411. The next prime is 38014433. The reversal of 38014416 is 61441083.

It is a self number, because there is not a number n which added to its sum of digits gives 38014416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38014411) 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, 163036 + ... + 163268.

Almost surely, 2^38014416 is an apocalyptic number.

38014416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38014416 is the 3296-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38014416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58844448).

38014416 is an abundant number, since it is smaller than the sum of its proper divisors (79674480).

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

38014416 is a wasteful number, since it uses less digits than its factorization.

38014416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38014416 is about 6165.5831840954. The cubic root of 38014416 is about 336.2400495482.

Adding to 38014416 its reverse (61441083), we get a palindrome (99455499).

The spelling of 38014416 in words is "thirty-eight million, fourteen thousand, four hundred sixteen".