38757664 has 48 divisors (see below), whose sum is σ = 84127680. Its totient is φ = 17429760.

The previous prime is 38757613. The next prime is 38757673. The reversal of 38757664 is 46675783.

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 7 ways as a sum of consecutive naturals, for example, 35722 + ... + 36790.

It is an arithmetic number, because the mean of its divisors is an integer number (1752660).

Almost surely, 2^38757664 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 38757664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42063840).

38757664 is an abundant number, since it is smaller than the sum of its proper divisors (45370016).

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

38757664 is a wasteful number, since it uses less digits than its factorization.

38757664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1185 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The square root of 38757664 is about 6225.5653558532. The cubic root of 38757664 is about 338.4172804601.

It can be divided in two parts, 387576 and 64, that added together give a triangular number (387640 = T₈₈₀).

The spelling of 38757664 in words is "thirty-eight million, seven hundred fifty-seven thousand, six hundred sixty-four".