38587968 has 112 divisors (see below), whose sum is σ = 114970560. Its totient is φ = 12690432.

The previous prime is 38587949. The next prime is 38587979. The reversal of 38587968 is 86978583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 236655 + ... + 236817.

Almost surely, 2^38587968 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 38587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57485280).

38587968 is an abundant number, since it is smaller than the sum of its proper divisors (76382592).

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

38587968 is a wasteful number, since it uses less digits than its factorization.

38587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 38587968 is about 6211.9214418729. The cubic root of 38587968 is about 337.9226507411.

The spelling of 38587968 in words is "thirty-eight million, five hundred eighty-seven thousand, nine hundred sixty-eight".