3227578640 has 320 divisors, whose sum is σ = 9599385600. Its totient is φ = 991180800.

The previous prime is 3227578631. The next prime is 3227578649. The reversal of 3227578640 is 468757223.

It is an interprime number because it is at equal distance from previous prime (3227578631) and next prime (3227578649).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3227578591 and 3227578600.

It is not an unprimeable number, because it can be changed into a prime (3227578649) 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, 6737921 + ... + 6738399.

It is an arithmetic number, because the mean of its divisors is an integer number (29998080).

Almost surely, 2^3227578640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3227578640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799692800).

3227578640 is an abundant number, since it is smaller than the sum of its proper divisors (6371806960).

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

3227578640 is a wasteful number, since it uses less digits than its factorization.

3227578640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The square root of 3227578640 is about 56811.7825807288. The cubic root of 3227578640 is about 1477.8338533044.

The spelling of 3227578640 in words is "three billion, two hundred twenty-seven million, five hundred seventy-eight thousand, six hundred forty".