38226816 has 96 divisors (see below), whose sum is σ = 114168600. Its totient is φ = 12731904.

The previous prime is 38226779. The next prime is 38226817. The reversal of 38226816 is 61862283.

38226816 is a `hidden beast` number, since 382 + 268 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38226816² = 2922578922995712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38226817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30490 + ... + 31718.

Almost surely, 2^38226816 is an apocalyptic number.

38226816 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 38226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57084300).

38226816 is an abundant number, since it is smaller than the sum of its proper divisors (75941784).

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

38226816 is an equidigital number, since it uses as much as digits as its factorization.

38226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1234 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 38226816 is about 6182.7838390162. The cubic root of 38226816 is about 336.8651175616.

The spelling of 38226816 in words is "thirty-eight million, two hundred twenty-six thousand, eight hundred sixteen".