3011228434368 has 1008 divisors, whose sum is σ = 11453168213760. Its totient is φ = 738374123520.

The previous prime is 3011228434339. The next prime is 3011228434393. The reversal of 3011228434368 is 8634348221103.

3011228434368 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 2 + 284 + 3 + 4 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5218766496 + ... + 5218767072.

Almost surely, 2^{3011228434368} is an apocalyptic number.

3011228434368 is a gapful number since it is divisible by the number (38) 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 3011228434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726584106880).

3011228434368 is an abundant number, since it is smaller than the sum of its proper divisors (8441939779392).

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

3011228434368 is a wasteful number, since it uses less digits than its factorization.

3011228434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3011228434368 in words is "three trillion, eleven billion, two hundred twenty-eight million, four hundred thirty-four thousand, three hundred sixty-eight".