38626224 has 160 divisors (see below), whose sum is σ = 126658560. Its totient is φ = 9870336.

The previous prime is 38626213. The next prime is 38626243. The reversal of 38626224 is 42262683.

It is a Cunningham number, because it is equal to 6215²-1.

It is a super-3 number, since 3×38626224³ (a number of 24 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 161497 + ... + 161735.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^38626224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38626224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63329280).

38626224 is an abundant number, since it is smaller than the sum of its proper divisors (88032336).

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

38626224 is a wasteful number, since it uses less digits than its factorization.

38626224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 38626224 is about 6214.9999195495. Note that the first 4 decimals coincide. The cubic root of 38626224 is about 338.0342857043.

The spelling of 38626224 in words is "thirty-eight million, six hundred twenty-six thousand, two hundred twenty-four".