38748192 has 144 divisors (see below), whose sum is σ = 122633280. Its totient is φ = 10492416.

The previous prime is 38748173. The next prime is 38748209. The reversal of 38748192 is 29184783.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (96768) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355434 + ... + 355542.

It is an arithmetic number, because the mean of its divisors is an integer number (851620).

Almost surely, 2^38748192 is an apocalyptic number.

38748192 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 38748192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61316640).

38748192 is an abundant number, since it is smaller than the sum of its proper divisors (83885088).

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

38748192 is a wasteful number, since it uses less digits than its factorization.

38748192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 38748192 is about 6224.8045752457. The cubic root of 38748192 is about 338.3897095720.

The spelling of 38748192 in words is "thirty-eight million, seven hundred forty-eight thousand, one hundred ninety-two".