37480 has 16 divisors (see below), whose sum is σ = 84420. Its totient is φ = 14976.

The previous prime is 37463. The next prime is 37483. The reversal of 37480 is 8473.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 4356 = 182^2 + 66^2 .

It is a nialpdrome in base 14.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 429 + ... + 508.

2³⁷⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

37480 is an abundant number, since it is smaller than the sum of its proper divisors (46940).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42210).

37480 is a wasteful number, since it uses less digits than its factorization.

37480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 37480 is about 193.5975206453. The cubic root of 37480 is about 33.4656959308.

It can be divided in two parts, 374 and 80, that added together give a palindrome (454).

The spelling of 37480 in words is "thirty-seven thousand, four hundred eighty".