3223780560 has 1200 divisors, whose sum is σ = 15517256832. Its totient is φ = 609638400.

The previous prime is 3223780541. The next prime is 3223780561. The reversal of 3223780560 is 650873223.

3223780560 is a `hidden beast` number, since 3 + 2 + 23 + 78 + 0 + 560 = 666.

It is a super-3 number, since 3×3223780560³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223780561) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45405325 + ... + 45405395.

Almost surely, 2^3223780560 is an apocalyptic number.

3223780560 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 3223780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758628416).

3223780560 is an abundant number, since it is smaller than the sum of its proper divisors (12293476272).

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

3223780560 is a wasteful number, since it uses less digits than its factorization.

3223780560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3223780560 is about 56778.3458723482. The cubic root of 3223780560 is about 1477.2539413481.

The spelling of 3223780560 in words is "three billion, two hundred twenty-three million, seven hundred eighty thousand, five hundred sixty".