3227516928 has 220 divisors, whose sum is σ = 10150213260. Its totient is φ = 1019215872.

The previous prime is 3227516927. The next prime is 3227516939. The reversal of 3227516928 is 8296157223.

Its product of digits (362880) is a multiple of the sum of its prime divisors (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3227516927) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 169869303 + ... + 169869321.

It is an arithmetic number, because the mean of its divisors is an integer number (46137333).

Almost surely, 2^3227516928 is an apocalyptic number.

3227516928 is a gapful number since it is divisible by the number (38) 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 3227516928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075106630).

3227516928 is an abundant number, since it is smaller than the sum of its proper divisors (6922696332).

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

3227516928 is an frugal number, since it uses more digits than its factorization.

3227516928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 24 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 3227516928 is about 56811.2394513621. The cubic root of 3227516928 is about 1477.8244344103.

The spelling of 3227516928 in words is "three billion, two hundred twenty-seven million, five hundred sixteen thousand, nine hundred twenty-eight".