38472192 has 240 divisors, whose sum is σ = 130616640. Its totient is φ = 11151360.

The previous prime is 38472163. The next prime is 38472197. The reversal of 38472192 is 29127483.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (24192) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38472197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672693 + ... + 1672715.

It is an arithmetic number, because the mean of its divisors is an integer number (544236).

Almost surely, 2^38472192 is an apocalyptic number.

38472192 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 38472192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

38472192 is an abundant number, since it is smaller than the sum of its proper divisors (92144448).

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

38472192 is a wasteful number, since it uses less digits than its factorization.

38472192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 39 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 38472192 is about 6202.5955857205. The cubic root of 38472192 is about 337.5843542235.

The spelling of 38472192 in words is "thirty-eight million, four hundred seventy-two thousand, one hundred ninety-two".