3982830480 has 160 divisors (see below), whose sum is σ = 13742334720. Its totient is φ = 1060254720.

The previous prime is 3982830473. The next prime is 3982830497. The reversal of 3982830480 is 840382893.

3982830480 is a `hidden beast` number, since 3 + 98 + 2 + 83 + 0 + 480 = 666.

3982830480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1642549 + ... + 1644971.

It is an arithmetic number, because the mean of its divisors is an integer number (85889592).

Almost surely, 2^3982830480 is an apocalyptic number.

3982830480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3982830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871167360).

3982830480 is an abundant number, since it is smaller than the sum of its proper divisors (9759504240).

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

3982830480 is a wasteful number, since it uses less digits than its factorization.

3982830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3982830480 is about 63109.6702574178. The cubic root of 3982830480 is about 1585.1265516750.

The spelling of 3982830480 in words is "three billion, nine hundred eighty-two million, eight hundred thirty thousand, four hundred eighty".