38125648 has 60 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 16920640.

The previous prime is 38125643. The next prime is 38125657. The reversal of 38125648 is 84652183.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38125643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90783 + ... + 91201.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^38125648 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 38125648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559840).

38125648 is an abundant number, since it is smaller than the sum of its proper divisors (44994032).

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

38125648 is a wasteful number, since it uses less digits than its factorization.

38125648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 38125648 is about 6174.5969908975. The cubic root of 38125648 is about 336.5676816907.

The spelling of 38125648 in words is "thirty-eight million, one hundred twenty-five thousand, six hundred forty-eight".