3274821144 has 128 divisors (see below), whose sum is σ = 10848384000. Its totient is φ = 894972672.

The previous prime is 3274821139. The next prime is 3274821157. The reversal of 3274821144 is 4411284723.

3274821144 is a `hidden beast` number, since 32 + 7 + 482 + 1 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3274821099 and 3274821108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12309 + ... + 81860.

It is an arithmetic number, because the mean of its divisors is an integer number (84753000).

Almost surely, 2^3274821144 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 3274821144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424192000).

3274821144 is an abundant number, since it is smaller than the sum of its proper divisors (7573562856).

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

3274821144 is a wasteful number, since it uses less digits than its factorization.

3274821144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94214 (or 94204 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 3274821144 is about 57226.0530178345. The cubic root of 3274821144 is about 1485.0093744944.

The spelling of 3274821144 in words is "three billion, two hundred seventy-four million, eight hundred twenty-one thousand, one hundred forty-four".