3606126480 has 200 divisors, whose sum is σ = 13663482624. Its totient is φ = 874195200.

The previous prime is 3606126457. The next prime is 3606126493. The reversal of 3606126480 is 846216063.

3606126480 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 1 + 2 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45985 + ... + 96575.

Almost surely, 2^3606126480 is an apocalyptic number.

3606126480 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 3606126480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831741312).

3606126480 is an abundant number, since it is smaller than the sum of its proper divisors (10057356144).

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

3606126480 is a wasteful number, since it uses less digits than its factorization.

3606126480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50627 (or 50612 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3606126480 is about 60051.0322975384. The cubic root of 3606126480 is about 1533.4877756639.

The spelling of 3606126480 in words is "three billion, six hundred six million, one hundred twenty-six thousand, four hundred eighty".