3011672404224 has 216 divisors, whose sum is σ = 9476583235392. Its totient is φ = 912262901760.

The previous prime is 3011672404163. The next prime is 3011672404241. The reversal of 3011672404224 is 4224042761103.

3011672404224 is a `hidden beast` number, since 30 + 1 + 167 + 2 + 40 + 422 + 4 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67063122 + ... + 67108014.

Almost surely, 2^{3011672404224} 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 3011672404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738291617696).

3011672404224 is an abundant number, since it is smaller than the sum of its proper divisors (6464910831168).

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

3011672404224 is a wasteful number, since it uses less digits than its factorization.

3011672404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47573 (or 47556 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 3011672404224 in words is "three trillion, eleven billion, six hundred seventy-two million, four hundred four thousand, two hundred twenty-four".