37852000 has 48 divisors (see below), whose sum is σ = 93012192. Its totient is φ = 15139200.

The previous prime is 37851991. The next prime is 37852007. The reversal of 37852000 is 25873.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37852007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732 + ... + 8731.

It is an arithmetic number, because the mean of its divisors is an integer number (1937754).

Almost surely, 2^37852000 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 37852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46506096).

37852000 is an abundant number, since it is smaller than the sum of its proper divisors (55160192).

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

37852000 is an equidigital number, since it uses as much as digits as its factorization.

37852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9488 (or 9470 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 37852000 is about 6152.3979065077. The cubic root of 37852000 is about 335.7605058267.

Adding to 37852000 its reverse (25873), we get a palindrome (37877873).

The spelling of 37852000 in words is "thirty-seven million, eight hundred fifty-two thousand".