3361538826240 has 448 divisors, whose sum is σ = 12305412324864. Its totient is φ = 767568642048.

The previous prime is 3361538826227. The next prime is 3361538826259. The reversal of 3361538826240 is 426288351633.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3361538826240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502698402 + ... + 1502700638.

Almost surely, 2^{3361538826240} is an apocalyptic number.

3361538826240 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 3361538826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152706162432).

3361538826240 is an abundant number, since it is smaller than the sum of its proper divisors (8943873498624).

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

3361538826240 is a wasteful number, since it uses less digits than its factorization.

3361538826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 3361538826240 in words is "three trillion, three hundred sixty-one billion, five hundred thirty-eight million, eight hundred twenty-six thousand, two hundred forty".