3927004480 has 112 divisors (see below), whose sum is σ = 10704185856. Its totient is φ = 1344245760.

The previous prime is 3927004451. The next prime is 3927004511. The reversal of 3927004480 is 844007293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2097945 + ... + 2099815.

It is an arithmetic number, because the mean of its divisors is an integer number (95573088).

Almost surely, 2^3927004480 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 3927004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352092928).

3927004480 is an abundant number, since it is smaller than the sum of its proper divisors (6777181376).

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

3927004480 is a wasteful number, since it uses less digits than its factorization.

3927004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 3927004480 is about 62665.8158807495. The cubic root of 3927004480 is about 1577.6856143716.

The spelling of 3927004480 in words is "three billion, nine hundred twenty-seven million, four thousand, four hundred eighty".