37420 has 12 divisors (see below), whose sum is σ = 78624. Its totient is φ = 14960.

The previous prime is 37409. The next prime is 37423. The reversal of 37420 is 2473.

It is a d-powerful number, because it can be written as 3⁷ + 7⁴ + 4³ + 2¹⁵ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 37394 and 37403.

It is not an unprimeable number, because it can be changed into a prime (37423) 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, 916 + ... + 955.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2³⁷⁴²⁰ is an apocalyptic number.

It is an amenable number.

37420 is an abundant number, since it is smaller than the sum of its proper divisors (41204).

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 (39312).

37420 is a wasteful number, since it uses less digits than its factorization.

37420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 37420 is about 193.4424979160. The cubic root of 37420 is about 33.4478284977.

Adding to 37420 its reverse (2473), we get a palindrome (39893).

The spelling of 37420 in words is "thirty-seven thousand, four hundred twenty".