3363874027056 has 560 divisors, whose sum is σ = 10953549865440. Its totient is φ = 994063933440.

The previous prime is 3363874027049. The next prime is 3363874027061. The reversal of 3363874027056 is 6507204783633.

3363874027056 is a `hidden beast` number, since 3 + 363 + 8 + 7 + 4 + 0 + 270 + 5 + 6 = 666.

It is a super-2 number, since 2×3363874027056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3363874026993 and 3363874027011.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 681909966 + ... + 681914898.

It is an arithmetic number, because the mean of its divisors is an integer number (19559910474).

Almost surely, 2^{3363874027056} is an apocalyptic number.

3363874027056 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 3363874027056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476774932720).

3363874027056 is an abundant number, since it is smaller than the sum of its proper divisors (7589675838384).

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

3363874027056 is a wasteful number, since it uses less digits than its factorization.

3363874027056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 3363874027056 in words is "three trillion, three hundred sixty-three billion, eight hundred seventy-four million, twenty-seven thousand, fifty-six".