38921568 has 96 divisors (see below), whose sum is σ = 123669504. Its totient is φ = 10463232.

The previous prime is 38921549. The next prime is 38921621. The reversal of 38921568 is 86512983.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) 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 (42).

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 15 ways as a sum of consecutive naturals, for example, 9721 + ... + 13127.

It is an arithmetic number, because the mean of its divisors is an integer number (1288224).

Almost surely, 2^38921568 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 38921568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61834752).

38921568 is an abundant number, since it is smaller than the sum of its proper divisors (84747936).

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

38921568 is a wasteful number, since it uses less digits than its factorization.

38921568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3436 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 38921568 is about 6238.7152523577. The cubic root of 38921568 is about 338.8936588338.

It can be divided in two parts, 3892 and 1568, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 38921568 in words is "thirty-eight million, nine hundred twenty-one thousand, five hundred sixty-eight".