38446272 has 112 divisors (see below), whose sum is σ = 119075200. Its totient is φ = 12130560.

The previous prime is 38446267. The next prime is 38446283. The reversal of 38446272 is 27264483.

38446272 is a `hidden beast` number, since 384 + 4 + 6 + 272 = 666.

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

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, 32247 + ... + 33417.

Almost surely, 2^38446272 is an apocalyptic number.

38446272 is a gapful number since it is divisible by the number (32) 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 38446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59537600).

38446272 is an abundant number, since it is smaller than the sum of its proper divisors (80628928).

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

38446272 is a wasteful number, since it uses less digits than its factorization.

38446272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1195 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 38446272 is about 6200.5057858210. The cubic root of 38446272 is about 337.5085232415.

It can be divided in two parts, 384 and 46272, that added together give a 6-th power (46656 = 6⁶).

The spelling of 38446272 in words is "thirty-eight million, four hundred forty-six thousand, two hundred seventy-two".