3274237422144 has 560 divisors, whose sum is σ = 11016442483200. Its totient is φ = 953233588224.

The previous prime is 3274237422121. The next prime is 3274237422167. The reversal of 3274237422144 is 4412247324723.

3274237422144 is a `hidden beast` number, since 3 + 2 + 7 + 423 + 7 + 4 + 2 + 214 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3274237422121) and next prime (3274237422167).

It is a self number, because there is not a number n which added to its sum of digits gives 3274237422144.

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 79 ways as a sum of consecutive naturals, for example, 1842563784 + ... + 1842565560.

It is an arithmetic number, because the mean of its divisors is an integer number (19672218720).

Almost surely, 2^{3274237422144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3274237422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508221241600).

3274237422144 is an abundant number, since it is smaller than the sum of its proper divisors (7742205061056).

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

3274237422144 is a wasteful number, since it uses less digits than its factorization.

3274237422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3253 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 45.

The spelling of 3274237422144 in words is "three trillion, two hundred seventy-four billion, two hundred thirty-seven million, four hundred twenty-two thousand, one hundred forty-four".