3992820480 has 504 divisors, whose sum is σ = 15683325840. Its totient is φ = 965468160.

The previous prime is 3992820473. The next prime is 3992820487. The reversal of 3992820480 is 840282993.

3992820480 is a `hidden beast` number, since 3 + 9 + 92 + 82 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (3992820473) and next prime (3992820487).

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

It is not an unprimeable number, because it can be changed into a prime (3992820487) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10264126 + ... + 10264514.

It is an arithmetic number, because the mean of its divisors is an integer number (31117710).

Almost surely, 2^3992820480 is an apocalyptic number.

3992820480 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 3992820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841662920).

3992820480 is an abundant number, since it is smaller than the sum of its proper divisors (11690505360).

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

3992820480 is an equidigital number, since it uses as much as digits as its factorization.

3992820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3992820480 is about 63188.7686222797. The cubic root of 3992820480 is about 1586.4507517162.

The spelling of 3992820480 in words is "three billion, nine hundred ninety-two million, eight hundred twenty thousand, four hundred eighty".