38763648 has 384 divisors, whose sum is σ = 152755200. Its totient is φ = 9123840.

The previous prime is 38763619. The next prime is 38763653. The reversal of 38763648 is 84636783.

38763648 is a `hidden beast` number, since 3 + 8 + 7 + 636 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1685365 + ... + 1685387.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 2^38763648 is an apocalyptic number.

38763648 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 38763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

38763648 is an abundant number, since it is smaller than the sum of its proper divisors (113991552).

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

38763648 is a wasteful number, since it uses less digits than its factorization.

38763648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 38763648 is about 6226.0459362263. The cubic root of 38763648 is about 338.4346962396.

The spelling of 38763648 in words is "thirty-eight million, seven hundred sixty-three thousand, six hundred forty-eight".