3782506280 has 128 divisors (see below), whose sum is σ = 9862041600. Its totient is φ = 1278934272.

The previous prime is 3782506271. The next prime is 3782506289. The reversal of 3782506280 is 826052873.

3782506280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3782506271) and next prime (3782506289).

It is not an unprimeable number, because it can be changed into a prime (3782506289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8169329 + ... + 8169791.

It is an arithmetic number, because the mean of its divisors is an integer number (77047200).

Almost surely, 2^3782506280 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 3782506280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931020800).

3782506280 is an abundant number, since it is smaller than the sum of its proper divisors (6079535320).

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

3782506280 is a wasteful number, since it uses less digits than its factorization.

3782506280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 3782506280 is about 61502.0835419419. The cubic root of 3782506280 is about 1558.0924360833.

The spelling of 3782506280 in words is "three billion, seven hundred eighty-two million, five hundred six thousand, two hundred eighty".