3979476480 has 320 divisors, whose sum is σ = 14739056640. Its totient is φ = 897122304.

The previous prime is 3979476463. The next prime is 3979476481. The reversal of 3979476480 is 846749793.

3979476480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 3979476480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979476481) 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, 4246572 + ... + 4247508.

It is an arithmetic number, because the mean of its divisors is an integer number (46059552).

Almost surely, 2^3979476480 is an apocalyptic number.

3979476480 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 3979476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369528320).

3979476480 is an abundant number, since it is smaller than the sum of its proper divisors (10759580160).

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

3979476480 is an equidigital number, since it uses as much as digits as its factorization.

3979476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The square root of 3979476480 is about 63083.0918709602. The cubic root of 3979476480 is about 1584.6814739385.

The spelling of 3979476480 in words is "three billion, nine hundred seventy-nine million, four hundred seventy-six thousand, four hundred eighty".