3782500 has 60 divisors (see below), whose sum is σ = 8856540. Its totient is φ = 1408000.

The previous prime is 3782491. The next prime is 3782503. The reversal of 3782500 is 52873.

It can be written as a sum of positive squares in 10 ways, for example, as 2965284 + 817216 = 1722^2 + 904^2 .

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 (3782503) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 42456 + ... + 42544.

It is an arithmetic number, because the mean of its divisors is an integer number (147609).

Almost surely, 2^3782500 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 3782500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428270).

3782500 is an abundant number, since it is smaller than the sum of its proper divisors (5074040).

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

3782500 is a wasteful number, since it uses less digits than its factorization.

3782500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

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

The square root of 3782500 is about 1944.8650338777. The cubic root of 3782500 is about 155.8091573796.

The spelling of 3782500 in words is "three million, seven hundred eighty-two thousand, five hundred".