3221395032240 has 2160 divisors, whose sum is σ = 15110492866560. Its totient is φ = 633719116800.

The previous prime is 3221395032217. The next prime is 3221395032277. The reversal of 3221395032240 is 422305931223.

3221395032240 is a `hidden beast` number, since 3 + 2 + 21 + 395 + 0 + 3 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a junction number, because it is equal to n+sod(n) for n = 3221395032195 and 3221395032204.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2189934705 + ... + 2189936175.

Almost surely, 2^{3221395032240} is an apocalyptic number.

3221395032240 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 3221395032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555246433280).

3221395032240 is an abundant number, since it is smaller than the sum of its proper divisors (11889097834320).

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

3221395032240 is a wasteful number, since it uses less digits than its factorization.

3221395032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3221395032240 in words is "three trillion, two hundred twenty-one billion, three hundred ninety-five million, thirty-two thousand, two hundred forty".