37887282 has 48 divisors (see below), whose sum is σ = 85601880. Its totient is φ = 12096000.

The previous prime is 37887281. The next prime is 37887299. The reversal of 37887282 is 28278873.

It can be written as a sum of positive squares in 4 ways, for example, as 32729841 + 5157441 = 5721^2 + 2271^2 .

It is a super-2 number, since 2×37887282² = 2870892274695048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37887281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94282 + ... + 94682.

Almost surely, 2^37887282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37887282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42800940).

37887282 is an abundant number, since it is smaller than the sum of its proper divisors (47714598).

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

37887282 is a wasteful number, since it uses less digits than its factorization.

37887282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 616 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 37887282 is about 6155.2645759545. The cubic root of 37887282 is about 335.8647946657.

The spelling of 37887282 in words is "thirty-seven million, eight hundred eighty-seven thousand, two hundred eighty-two".