3038486556672 has 1092 divisors, whose sum is σ = 11165527903080. Its totient is φ = 821695021056.

The previous prime is 3038486556649. The next prime is 3038486556713. The reversal of 3038486556672 is 2766556848303.

3038486556672 is a `hidden beast` number, since 3 + 0 + 3 + 8 + 4 + 8 + 6 + 556 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2779950558 + ... + 2779951650.

Almost surely, 2^{3038486556672} is an apocalyptic number.

3038486556672 is a gapful number since it is divisible by the number (32) 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 3038486556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582763951540).

3038486556672 is an abundant number, since it is smaller than the sum of its proper divisors (8127041346408).

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

3038486556672 is an equidigital number, since it uses as much as digits as its factorization.

3038486556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 3038486556672 in words is "three trillion, thirty-eight billion, four hundred eighty-six million, five hundred fifty-six thousand, six hundred seventy-two".