3055205346336 has 1152 divisors, whose sum is σ = 10850379079680. Its totient is φ = 828759859200.

The previous prime is 3055205346331. The next prime is 3055205346359. The reversal of 3055205346336 is 6336435025503.

It is a happy number.

3055205346336 is a `hidden beast` number, since 3 + 0 + 5 + 5 + 2 + 0 + 5 + 3 + 4 + 633 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3055205346291 and 3055205346300.

It is not an unprimeable number, because it can be changed into a prime (3055205346331) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8324810025 + ... + 8324810391.

It is an arithmetic number, because the mean of its divisors is an integer number (9418731840).

Almost surely, 2^{3055205346336} is an apocalyptic number.

3055205346336 is a gapful number since it is divisible by the number (36) 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 3055205346336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425189539840).

3055205346336 is an abundant number, since it is smaller than the sum of its proper divisors (7795173733344).

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

3055205346336 is a wasteful number, since it uses less digits than its factorization.

3055205346336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 45.

The spelling of 3055205346336 in words is "three trillion, fifty-five billion, two hundred five million, three hundred forty-six thousand, three hundred thirty-six".