3361677633584 has 80 divisors (see below), whose sum is σ = 7061417326080. Its totient is φ = 1544541250560.

The previous prime is 3361677633521. The next prime is 3361677633607. The reversal of 3361677633584 is 4853367761633.

It is a super-2 number, since 2×3361677633584² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144127 + ... + 2834145.

It is an arithmetic number, because the mean of its divisors is an integer number (88267716576).

Almost surely, 2^{3361677633584} is an apocalyptic number.

3361677633584 is a gapful number since it is divisible by the number (34) 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 3361677633584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530708663040).

3361677633584 is an abundant number, since it is smaller than the sum of its proper divisors (3699739692496).

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

3361677633584 is a wasteful number, since it uses less digits than its factorization.

3361677633584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690218 (or 1690212 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 62.

The spelling of 3361677633584 in words is "three trillion, three hundred sixty-one billion, six hundred seventy-seven million, six hundred thirty-three thousand, five hundred eighty-four".