3222562371840 has 1440 divisors, whose sum is σ = 13869201798144. Its totient is φ = 698959134720.

The previous prime is 3222562371797. The next prime is 3222562371863. The reversal of 3222562371840 is 481732652223.

3222562371840 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 5 + 623 + 7 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×3222562371840³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1100976457 + ... + 1100979383.

Almost surely, 2^{3222562371840} is an apocalyptic number.

3222562371840 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 3222562371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934600899072).

3222562371840 is an abundant number, since it is smaller than the sum of its proper divisors (10646639426304).

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

3222562371840 is a wasteful number, since it uses less digits than its factorization.

3222562371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3222562371840 in words is "three trillion, two hundred twenty-two billion, five hundred sixty-two million, three hundred seventy-one thousand, eight hundred forty".