37284940 has 144 divisors (see below), whose sum is σ = 102961152. Its totient is φ = 11088000.

The previous prime is 37284911. The next prime is 37284941. The reversal of 37284940 is 4948273.

It is a happy number.

It is a super-3 number, since 3×37284940³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37284940.

It is not an unprimeable number, because it can be changed into a prime (37284941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525105 + ... + 525175.

It is an arithmetic number, because the mean of its divisors is an integer number (715008).

Almost surely, 2^37284940 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 37284940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480576).

37284940 is an abundant number, since it is smaller than the sum of its proper divisors (65676212).

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

37284940 is a wasteful number, since it uses less digits than its factorization.

37284940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 37284940 is about 6106.1395332894. The cubic root of 37284940 is about 334.0753890563.

It can be divided in two parts, 3728 and 4940, that added together give a palindrome (8668).

The spelling of 37284940 in words is "thirty-seven million, two hundred eighty-four thousand, nine hundred forty".