3159780480 has 576 divisors, whose sum is σ = 12275073720. Its totient is φ = 746127360.

The previous prime is 3159780461. The next prime is 3159780487. The reversal of 3159780480 is 840879513.

3159780480 is a `hidden beast` number, since 3 + 1 + 5 + 97 + 80 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2099105856 + 1060674624 = 45816^2 + 32568^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3159780487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51799650 + ... + 51799710.

Almost surely, 2^3159780480 is an apocalyptic number.

3159780480 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 3159780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6137536860).

3159780480 is an abundant number, since it is smaller than the sum of its proper divisors (9115293240).

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

3159780480 is a wasteful number, since it uses less digits than its factorization.

3159780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3159780480 is about 56211.9247135339. The cubic root of 3159780480 is about 1467.4128030906.

The spelling of 3159780480 in words is "three billion, one hundred fifty-nine million, seven hundred eighty thousand, four hundred eighty".