3381217798140 has 576 divisors, whose sum is σ = 13187393049600. Its totient is φ = 712895758848.

The previous prime is 3381217798129. The next prime is 3381217798171. The reversal of 3381217798140 is 418977121833.

3381217798140 is a `hidden beast` number, since 3 + 381 + 2 + 177 + 98 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×3381217798140² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 680733937 + ... + 680738903.

It is an arithmetic number, because the mean of its divisors is an integer number (22894779600).

Almost surely, 2^{3381217798140} is an apocalyptic number.

3381217798140 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 3381217798140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593696524800).

3381217798140 is an abundant number, since it is smaller than the sum of its proper divisors (9806175251460).

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

3381217798140 is a wasteful number, since it uses less digits than its factorization.

3381217798140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6991 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 3381217798140 in words is "three trillion, three hundred eighty-one billion, two hundred seventeen million, seven hundred ninety-eight thousand, one hundred forty".