38140416 has 160 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 12165120.

The previous prime is 38140387. The next prime is 38140439. The reversal of 38140416 is 61404183.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38140416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428500 + ... + 428588.

It is an arithmetic number, because the mean of its divisors is an integer number (736560).

Almost surely, 2^38140416 is an apocalyptic number.

38140416 is a gapful number since it is divisible by the number (36) 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 38140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

38140416 is an abundant number, since it is smaller than the sum of its proper divisors (79709184).

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

38140416 is an equidigital number, since it uses as much as digits as its factorization.

38140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

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

The square root of 38140416 is about 6175.7927426364. The cubic root of 38140416 is about 336.6111326671.

Adding to 38140416 its reverse (61404183), we get a palindrome (99544599).

The spelling of 38140416 in words is "thirty-eight million, one hundred forty thousand, four hundred sixteen".