3222438085440 has 1008 divisors, whose sum is σ = 13495395513600. Its totient is φ = 729705811968.

The previous prime is 3222438085319. The next prime is 3222438085469. The reversal of 3222438085440 is 445808342223.

3222438085440 is a `hidden beast` number, since 3 + 2 + 2 + 24 + 3 + 80 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 415312281 + ... + 415320039.

It is an arithmetic number, because the mean of its divisors is an integer number (13388289200).

Almost surely, 2^{3222438085440} is an apocalyptic number.

3222438085440 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 3222438085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747697756800).

3222438085440 is an abundant number, since it is smaller than the sum of its proper divisors (10272957428160).

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

3222438085440 is a wasteful number, since it uses less digits than its factorization.

3222438085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914 (or 7885 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 3222438085440 in words is "three trillion, two hundred twenty-two billion, four hundred thirty-eight million, eighty-five thousand, four hundred forty".