3286419941376 has 1920 divisors, whose sum is σ = 12306668774400. Its totient is φ = 859963392000.

The previous prime is 3286419941281. The next prime is 3286419941437. The reversal of 3286419941376 is 6731499146823.

3286419941376 is a `hidden beast` number, since 3 + 2 + 8 + 64 + 1 + 99 + 413 + 76 = 666.

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 159 ways as a sum of consecutive naturals, for example, 30150641610 + ... + 30150641718.

It is an arithmetic number, because the mean of its divisors is an integer number (6409723320).

Almost surely, 2^{3286419941376} is an apocalyptic number.

3286419941376 is a gapful number since it is divisible by the number (36) 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 3286419941376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153334387200).

3286419941376 is an abundant number, since it is smaller than the sum of its proper divisors (9020248833024).

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

3286419941376 is a wasteful number, since it uses less digits than its factorization.

3286419941376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 210 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 3286419941376 in words is "three trillion, two hundred eighty-six billion, four hundred nineteen million, nine hundred forty-one thousand, three hundred seventy-six".