3564277248 has 480 divisors, whose sum is σ = 12091368960. Its totient is φ = 927252480.

The previous prime is 3564277247. The next prime is 3564277253. The reversal of 3564277248 is 8427724653.

It is a super-2 number, since 2×3564277248² = 25408144601220907008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3564277197 and 3564277206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564277247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50201053 + ... + 50201123.

It is an arithmetic number, because the mean of its divisors is an integer number (25190352).

Almost surely, 2^3564277248 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 3564277248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045684480).

3564277248 is an abundant number, since it is smaller than the sum of its proper divisors (8527091712).

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

3564277248 is a wasteful number, since it uses less digits than its factorization.

3564277248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The square root of 3564277248 is about 59701.5682206087. The cubic root of 3564277248 is about 1527.5326183989.

The spelling of 3564277248 in words is "three billion, five hundred sixty-four million, two hundred seventy-seven thousand, two hundred forty-eight".