3236884560 has 480 divisors, whose sum is σ = 13519134720. Its totient is φ = 675827712.

The previous prime is 3236884531. The next prime is 3236884577. The reversal of 3236884560 is 654886323.

It is a happy number.

3236884560 is a `hidden beast` number, since 3 + 2 + 3 + 6 + 8 + 84 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8320846 + ... + 8321234.

It is an arithmetic number, because the mean of its divisors is an integer number (28164864).

Almost surely, 2^3236884560 is an apocalyptic number.

3236884560 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 3236884560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759567360).

3236884560 is an abundant number, since it is smaller than the sum of its proper divisors (10282250160).

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

3236884560 is a wasteful number, since it uses less digits than its factorization.

3236884560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3236884560 is about 56893.6249504283. The cubic root of 3236884560 is about 1479.2528125173.

The spelling of 3236884560 in words is "three billion, two hundred thirty-six million, eight hundred eighty-four thousand, five hundred sixty".