3782080848 has 480 divisors, whose sum is σ = 13404642048. Its totient is φ = 891371520.

The previous prime is 3782080807. The next prime is 3782080889. The reversal of 3782080848 is 8480802873.

It is an interprime number because it is at equal distance from previous prime (3782080807) and next prime (3782080889).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3782080797 and 3782080806.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 71359990 + ... + 71360042.

Almost surely, 2^3782080848 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 3782080848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702321024).

3782080848 is an abundant number, since it is smaller than the sum of its proper divisors (9622561200).

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

3782080848 is a wasteful number, since it uses less digits than its factorization.

3782080848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 3782080848 is about 61498.6247651116. The cubic root of 3782080848 is about 1558.0340191515.

The spelling of 3782080848 in words is "three billion, seven hundred eighty-two million, eighty thousand, eight hundred forty-eight".