37545380 has 48 divisors (see below), whose sum is σ = 81874800. Its totient is φ = 14450688.

The previous prime is 37545353. The next prime is 37545419. The reversal of 37545380 is 8354573.

37545380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 481636 + 37063744 = 694^2 + 6088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 37545380.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83396 + ... + 83844.

It is an arithmetic number, because the mean of its divisors is an integer number (1705725).

Almost surely, 2^37545380 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 37545380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40937400).

37545380 is an abundant number, since it is smaller than the sum of its proper divisors (44329420).

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

37545380 is a wasteful number, since it uses less digits than its factorization.

37545380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 37545380 is about 6127.4284981548. The cubic root of 37545380 is about 334.8514378026.

The spelling of 37545380 in words is "thirty-seven million, five hundred forty-five thousand, three hundred eighty".