38797416 has 96 divisors (see below), whose sum is σ = 122616000. Its totient is φ = 11077920.

The previous prime is 38797391. The next prime is 38797457. The reversal of 38797416 is 61479783.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23911 + ... + 25481.

It is an arithmetic number, because the mean of its divisors is an integer number (1277250).

Almost surely, 2^38797416 is an apocalyptic number.

38797416 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 38797416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61308000).

38797416 is an abundant number, since it is smaller than the sum of its proper divisors (83818584).

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

38797416 is a wasteful number, since it uses less digits than its factorization.

38797416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1583 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 38797416 is about 6228.7571794059. The cubic root of 38797416 is about 338.5329407421.

The spelling of 38797416 in words is "thirty-eight million, seven hundred ninety-seven thousand, four hundred sixteen".