38535648 has 96 divisors (see below), whose sum is σ = 109549440. Its totient is φ = 11819520.

The previous prime is 38535631. The next prime is 38535671. The reversal of 38535648 is 84653583.

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

Its product of digits (345600) is a multiple of the sum of its prime factors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67203 + ... + 67773.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 2^38535648 is an apocalyptic number.

38535648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54774720).

38535648 is an abundant number, since it is smaller than the sum of its proper divisors (71013792).

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

38535648 is a wasteful number, since it uses less digits than its factorization.

38535648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 38535648 is about 6207.7087560548. The cubic root of 38535648 is about 337.7698560520.

The spelling of 38535648 in words is "thirty-eight million, five hundred thirty-five thousand, six hundred forty-eight".