38961648 has 120 divisors (see below), whose sum is σ = 123492096. Its totient is φ = 11793600.

The previous prime is 38961631. The next prime is 38961649. The reversal of 38961648 is 84616983.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38961649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42313 + ... + 43223.

Almost surely, 2^38961648 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 38961648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048).

38961648 is an abundant number, since it is smaller than the sum of its proper divisors (84530448).

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

38961648 is a wasteful number, since it uses less digits than its factorization.

38961648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 927 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 38961648 is about 6241.9266256501. The cubic root of 38961648 is about 339.0099456711.

The spelling of 38961648 in words is "thirty-eight million, nine hundred sixty-one thousand, six hundred forty-eight".