38505348 has 144 divisors (see below), whose sum is σ = 120113280. Its totient is φ = 10445760.

The previous prime is 38505331. The next prime is 38505353. The reversal of 38505348 is 84350583.

It is a super-2 number, since 2×38505348² = 2965323649202208, which contains 22 as substring.

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).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726490 + ... + 726542.

It is an arithmetic number, because the mean of its divisors is an integer number (834120).

Almost surely, 2^38505348 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 38505348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60056640).

38505348 is an abundant number, since it is smaller than the sum of its proper divisors (81607932).

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

38505348 is a wasteful number, since it uses less digits than its factorization.

38505348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 38505348 is about 6205.2677621518. The cubic root of 38505348 is about 337.6813050546.

The spelling of 38505348 in words is "thirty-eight million, five hundred five thousand, three hundred forty-eight".