37828836 has 96 divisors (see below), whose sum is σ = 104052480. Its totient is φ = 11860992.

The previous prime is 37828831. The next prime is 37828841. The reversal of 37828836 is 63882873.

It is an interprime number because it is at equal distance from previous prime (37828831) and next prime (37828841).

It is a super-2 number, since 2×37828836² = 2862041666229792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37828791 and 37828800.

It is not an unprimeable number, because it can be changed into a prime (37828831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240870 + ... + 241026.

It is an arithmetic number, because the mean of its divisors is an integer number (1083880).

Almost surely, 2^37828836 is an apocalyptic number.

37828836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37828836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52026240).

37828836 is an abundant number, since it is smaller than the sum of its proper divisors (66223644).

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

37828836 is a wasteful number, since it uses less digits than its factorization.

37828836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 37828836 is about 6150.5151003798. The cubic root of 37828836 is about 335.6920009179.

The spelling of 37828836 in words is "thirty-seven million, eight hundred twenty-eight thousand, eight hundred thirty-six".