38273472 has 168 divisors, whose sum is σ = 119822976. Its totient is φ = 12089088.

The previous prime is 38273441. The next prime is 38273479. The reversal of 38273472 is 27437283.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38273479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357643 + ... + 357749.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^38273472 is an apocalyptic number.

38273472 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 38273472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

38273472 is an abundant number, since it is smaller than the sum of its proper divisors (81549504).

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

38273472 is a wasteful number, since it uses less digits than its factorization.

38273472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 38273472 is about 6186.5557461321. Note that the first 3 decimals coincide. The cubic root of 38273472 is about 337.0021103044.

The spelling of 38273472 in words is "thirty-eight million, two hundred seventy-three thousand, four hundred seventy-two".