3363401180160 has 2464 divisors, whose sum is σ = 15000767101440. Its totient is φ = 706316599296.

The previous prime is 3363401180159. The next prime is 3363401180197. The reversal of 3363401180160 is 610811043633.

3363401180160 is a `hidden beast` number, since 3 + 3 + 63 + 401 + 180 + 16 + 0 = 666.

It is a super-2 number, since 2×3363401180160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 17426949024 + ... + 17426949216.

Almost surely, 2^{3363401180160} is an apocalyptic number.

3363401180160 is a gapful number since it is divisible by the number (30) 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 3363401180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500383550720).

3363401180160 is an abundant number, since it is smaller than the sum of its proper divisors (11637365921280).

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

3363401180160 is a wasteful number, since it uses less digits than its factorization.

3363401180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 3363401180160 in words is "three trillion, three hundred sixty-three billion, four hundred one million, one hundred eighty thousand, one hundred sixty".