38351768 has 64 divisors (see below), whose sum is σ = 89376000. Its totient is φ = 15023232.

The previous prime is 38351767. The next prime is 38351771. The reversal of 38351768 is 86715383.

Its product of digits (120960) is a multiple of the sum of its prime divisors (540).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38351767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 101003 + ... + 101381.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2^38351768 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 38351768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44688000).

38351768 is an abundant number, since it is smaller than the sum of its proper divisors (51024232).

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

38351768 is a wasteful number, since it uses less digits than its factorization.

38351768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 38351768 is about 6192.8804283629. The cubic root of 38351768 is about 337.2317553974.

The spelling of 38351768 in words is "thirty-eight million, three hundred fifty-one thousand, seven hundred sixty-eight".