38434848 has 48 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 12720896.

The previous prime is 38434829. The next prime is 38434859. The reversal of 38434848 is 84843483.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 12961 + ... + 15647.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^38434848 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 38434848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

38434848 is an abundant number, since it is smaller than the sum of its proper divisors (63171552).

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

38434848 is a wasteful number, since it uses less digits than its factorization.

38434848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2841 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 38434848 is about 6199.5845022066. The cubic root of 38434848 is about 337.4750906170.

The spelling of 38434848 in words is "thirty-eight million, four hundred thirty-four thousand, eight hundred forty-eight".