3361038246720 has 1008 divisors, whose sum is σ = 15533653756608. Its totient is φ = 657310187520.

The previous prime is 3361038246677. The next prime is 3361038246739. The reversal of 3361038246720 is 276428301633.

3361038246720 is a `hidden beast` number, since 3 + 3 + 6 + 103 + 82 + 467 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×3361038246720³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26325759 + ... + 26453121.

Almost surely, 2^{3361038246720} is an apocalyptic number.

3361038246720 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 3361038246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766826878304).

3361038246720 is an abundant number, since it is smaller than the sum of its proper divisors (12172615509888).

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

3361038246720 is a wasteful number, since it uses less digits than its factorization.

3361038246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127428 (or 127408 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3361038246720 in words is "three trillion, three hundred sixty-one billion, thirty-eight million, two hundred forty-six thousand, seven hundred twenty".