37845990 has 96 divisors (see below), whose sum is σ = 121133376. Its totient is φ = 7983360.

The previous prime is 37845959. The next prime is 37845991. The reversal of 37845990 is 9954873.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37845991) 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, 5880 + ... + 10500.

It is an arithmetic number, because the mean of its divisors is an integer number (1261806).

Almost surely, 2^37845990 is an apocalyptic number.

37845990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37845990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60566688).

37845990 is an abundant number, since it is smaller than the sum of its proper divisors (83287386).

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

37845990 is a wasteful number, since it uses less digits than its factorization.

37845990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 37845990 is about 6151.9094596719. The cubic root of 37845990 is about 335.7427346173.

The spelling of 37845990 in words is "thirty-seven million, eight hundred forty-five thousand, nine hundred ninety".