3810226560 has 512 divisors, whose sum is σ = 14993510400. Its totient is φ = 803561472.

The previous prime is 3810226531. The next prime is 3810226561. The reversal of 3810226560 is 656220183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3810226561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10980307 + ... + 10980653.

It is an arithmetic number, because the mean of its divisors is an integer number (29284200).

Almost surely, 2^3810226560 is an apocalyptic number.

3810226560 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 3810226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496755200).

3810226560 is an abundant number, since it is smaller than the sum of its proper divisors (11183283840).

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

3810226560 is a wasteful number, since it uses less digits than its factorization.

3810226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3810226560 is about 61727.0326518293. The cubic root of 3810226560 is about 1561.8893610466.

The spelling of 3810226560 in words is "three billion, eight hundred ten million, two hundred twenty-six thousand, five hundred sixty".