3363949169568 has 384 divisors, whose sum is σ = 10688586854400. Its totient is φ = 1029237580800.

The previous prime is 3363949169557. The next prime is 3363949169573. The reversal of 3363949169568 is 8659619493633.

3363949169568 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 9 + 49 + 16 + 9 + 568 = 666.

It is a super-2 number, since 2×3363949169568² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3363949169496 and 3363949169505.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343570753 + ... + 343580543.

It is an arithmetic number, because the mean of its divisors is an integer number (27834861600).

Almost surely, 2^{3363949169568} 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 3363949169568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344293427200).

3363949169568 is an abundant number, since it is smaller than the sum of its proper divisors (7324637684832).

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

3363949169568 is a wasteful number, since it uses less digits than its factorization.

3363949169568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 9990 counting only the distinct ones).

The product of its digits is 680244480, while the sum is 72.

The spelling of 3363949169568 in words is "three trillion, three hundred sixty-three billion, nine hundred forty-nine million, one hundred sixty-nine thousand, five hundred sixty-eight".