3227114880 has 576 divisors, whose sum is σ = 12798498960. Its totient is φ = 742809600.

The previous prime is 3227114873. The next prime is 3227114897. The reversal of 3227114880 is 884117223.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60888934 + ... + 60888986.

Almost surely, 2^3227114880 is an apocalyptic number.

3227114880 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 3227114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399249480).

3227114880 is an abundant number, since it is smaller than the sum of its proper divisors (9571384080).

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

3227114880 is a wasteful number, since it uses less digits than its factorization.

3227114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3227114880 is about 56807.7008864115. The cubic root of 3227114880 is about 1477.7630682430.

The spelling of 3227114880 in words is "three billion, two hundred twenty-seven million, one hundred fourteen thousand, eight hundred eighty".