3782259580 has 48 divisors (see below), whose sum is σ = 8689816800. Its totient is φ = 1371398400.

The previous prime is 3782259557. The next prime is 3782259583. The reversal of 3782259580 is 859522873.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782259583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52150 + ... + 101410.

It is an arithmetic number, because the mean of its divisors is an integer number (181037850).

Almost surely, 2^3782259580 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 3782259580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344908400).

3782259580 is an abundant number, since it is smaller than the sum of its proper divisors (4907557220).

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

3782259580 is a wasteful number, since it uses less digits than its factorization.

3782259580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49630 (or 49628 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

The square root of 3782259580 is about 61500.0778861295. The cubic root of 3782259580 is about 1558.0585617389.

It can be divided in two parts, 3782 and 259580, that added together give a palindrome (263362).

The spelling of 3782259580 in words is "three billion, seven hundred eighty-two million, two hundred fifty-nine thousand, five hundred eighty".