38587752 has 160 divisors (see below), whose sum is σ = 126846720. Its totient is φ = 10730880.

The previous prime is 38587733. The next prime is 38587771. The reversal of 38587752 is 25778583.

It is an interprime number because it is at equal distance from previous prime (38587733) and next prime (38587771).

Its product of digits (470400) is a multiple of the sum of its prime divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 38587698 and 38587707.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213102 + ... + 213282.

It is an arithmetic number, because the mean of its divisors is an integer number (792792).

Almost surely, 2^38587752 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 38587752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63423360).

38587752 is an abundant number, since it is smaller than the sum of its proper divisors (88258968).

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

38587752 is a wasteful number, since it uses less digits than its factorization.

38587752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 38587752 is about 6211.9040559236. The cubic root of 38587752 is about 337.9220202213.

The spelling of 38587752 in words is "thirty-eight million, five hundred eighty-seven thousand, seven hundred fifty-two".