37825280 has 72 divisors (see below), whose sum is σ = 93819600. Its totient is φ = 14594048.

The previous prime is 37825273. The next prime is 37825283. The reversal of 37825280 is 8252873.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 37825280.

It is not an unprimeable number, because it can be changed into a prime (37825283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36611 + ... + 37629.

It is an arithmetic number, because the mean of its divisors is an integer number (1303050).

Almost surely, 2^37825280 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 37825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46909800).

37825280 is an abundant number, since it is smaller than the sum of its proper divisors (55994320).

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

37825280 is a wasteful number, since it uses less digits than its factorization.

37825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 37825280 is about 6150.2260121072. The cubic root of 37825280 is about 335.6814819744.

The spelling of 37825280 in words is "thirty-seven million, eight hundred twenty-five thousand, two hundred eighty".