3341426884992 has 1024 divisors, whose sum is σ = 12032409600000. Its totient is φ = 911409408000.

The previous prime is 3341426884903. The next prime is 3341426884993. The reversal of 3341426884992 is 2994886241433.

3341426884992 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 426 + 88 + 49 + 92 = 666.

It is a super-2 number, since 2×3341426884992² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3341426884993) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2903063617 + ... + 2903064767.

It is an arithmetic number, because the mean of its divisors is an integer number (11750400000).

Almost surely, 2^{3341426884992} is an apocalyptic number.

3341426884992 is a gapful number since it is divisible by the number (32) 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 3341426884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016204800000).

3341426884992 is an abundant number, since it is smaller than the sum of its proper divisors (8690982715008).

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

3341426884992 is a wasteful number, since it uses less digits than its factorization.

3341426884992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1273 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 3341426884992 in words is "three trillion, three hundred forty-one billion, four hundred twenty-six million, eight hundred eighty-four thousand, nine hundred ninety-two".