37488 has 40 divisors (see below), whose sum is σ = 107136. Its totient is φ = 11200.

The previous prime is 37483. The next prime is 37489. The reversal of 37488 is 88473.

37488 = T₇₇ + T₇₈ + ... + T₈₇.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37483) by changing a digit.

37488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493 + ... + 563.

2³⁷⁴⁸⁸ 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 37488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568).

37488 is an abundant number, since it is smaller than the sum of its proper divisors (69648).

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

37488 is a wasteful number, since it uses less digits than its factorization.

37488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 37488 is about 193.6181809645. The cubic root of 37488 is about 33.4680768141.

It can be divided in two parts, 37 and 488, that added together give a palindrome (525).

The spelling of 37488 in words is "thirty-seven thousand, four hundred eighty-eight".