3395565360 has 560 divisors, whose sum is σ = 13271293440. Its totient is φ = 800616960.

The previous prime is 3395565317. The next prime is 3395565361. The reversal of 3395565360 is 635655933.

3395565360 is a `hidden beast` number, since 3 + 39 + 556 + 5 + 3 + 60 = 666.

It is a super-2 number, since 2×3395565360² = 23059728228063859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3395565361) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42981801 + ... + 42981879.

Almost surely, 2^3395565360 is an apocalyptic number.

3395565360 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 3395565360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635646720).

3395565360 is an abundant number, since it is smaller than the sum of its proper divisors (9875728080).

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

3395565360 is a wasteful number, since it uses less digits than its factorization.

3395565360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 45.

The square root of 3395565360 is about 58271.4798164591. The cubic root of 3395565360 is about 1503.0405525291.

The spelling of 3395565360 in words is "three billion, three hundred ninety-five million, five hundred sixty-five thousand, three hundred sixty".