3286185412440 has 512 divisors, whose sum is σ = 11743481088000. Its totient is φ = 719771222016.

The previous prime is 3286185412439. The next prime is 3286185412453. The reversal of 3286185412440 is 442145816823.

It is a self number, because there is not a number n which added to its sum of digits gives 3286185412440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2261654754 + ... + 2261656206.

It is an arithmetic number, because the mean of its divisors is an integer number (22936486500).

Almost surely, 2^{3286185412440} is an apocalyptic number.

3286185412440 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 3286185412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871740544000).

3286185412440 is an abundant number, since it is smaller than the sum of its proper divisors (8457295675560).

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

3286185412440 is a wasteful number, since it uses less digits than its factorization.

3286185412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 3286185412440 in words is "three trillion, two hundred eighty-six billion, one hundred eighty-five million, four hundred twelve thousand, four hundred forty".